iCoachMath.com: Examples on The Quadratic Formula - Quadratic Equations and Functions - (AL)
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Solved Examples

Curriculum: Alabama Course of Study   Click to change Curriculum

Topic: Quadratic Equations and Functions  Click to change Topic

Lesson: 4, 5, 7, 2: The Quadratic Formula  Click to change Lesson

Click on a 'View Solution' below for other questions:
ee  Solve the following equation using the quadratic formula.
- x2 + 5x - 8 = 0
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 + 9x + 8 = 0  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 = 9x - 4
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 + 2x - 4 = 0  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 = 12x - 40
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 - 8x + 18 = 0
  ee
View Solution
ee  Solve the equation using quadratic formula.
(x + 9)19 = 9(x + 8)
  ee
View Solution
ee  Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary.
9x2 - 5x + 8 = 0  ee
View Solution
ee  Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary.
9x2 + 17x - 6 = 0  ee
View Solution
ee  Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary.
4x2 + 12x + 9 = 0
  ee
View Solution
ee  Calculate the value of m if 49x2 + mx + 64 = 0 has one real solution.  ee View Solution
ee  Calculate the value of p if x2 + 10x + p = 0 has one real solution.  ee View Solution
ee  Form a quadratic equation to find the area of a square that has area equal to the area as the circle shown. [a = 13.]
  ee
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ee  Without graphing, find out how many x-intercepts the given function has.
y = x2 + 6 - 11(x + 5)
  ee
View Solution
ee  Frame a quadratic equation in x, whose solutions are - 6 ± 6i.
  ee
View Solution
ee  Joe throws a stick straight up in the air from the ground. The function h = - 14t2 + 42t models the height h (in feet) of the stick above the ground after t seconds. Will the stick ever reach a height of 21 ft?  ee View Solution
ee  Calculate the value of m if 9x2 + mx + 9 = 0 has two real solutions.
  ee
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ee  Calculate the value of m if 4x2 + mx + 25 = 0 has two imaginary solutions.
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 = 8x - 20
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 - 4x + 9 = 0
  ee
View Solution
ee  Solve the equation using quadratic formula.
(x + 6)13 = 6(x + 5)
  ee
View Solution
ee  Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary.
36x2 + 132x + 121 = 0
  ee
View Solution
ee  Calculate the value of m if 16x2 + mx + 25 = 0 has one real solution.  ee View Solution
ee  Calculate the value of p if x2 + 6x + p = 0 has one real solution.  ee View Solution
ee  Without graphing, find out how many x-intercepts the given function has.
y = x2 + 5 - 10(x + 2)
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 + 12x - 10 = 0  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 = 6x - 13
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 - 4x + 15 = 0
  ee
View Solution
ee  Solve the equation using quadratic formula.
(x + 5)11 = 5(x + 4)
  ee
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ee  Match the function with its graph, using the discriminant y = 2x2 + 4x + 3.
  ee
View Solution
ee  Match the function with its graph, using the discriminant y = 2x2 - 4x + 2.
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 + 5x + 4 = 0  ee
View Solution
ee  Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary.
5x2 - 5x + 4 = 0  ee
View Solution
ee  Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary.
7x2 + 13x - 5 = 0  ee
View Solution
ee  Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary.
16x2 + 56x + 49 = 0
  ee
View Solution
ee  Calculate the value of m if 4x2 + mx + 9 = 0 has one real solution.  ee View Solution
ee  Calculate the value of p if x2 + 8x + p = 0 has one real solution.  ee View Solution
ee  Form a quadratic equation to find the area of a square that has area equal to the area as the circle shown. [a = 8.]
  ee
View Solution
ee  Without graphing, find out how many x-intercepts the given function has.
y = x2 + 8 - 11(x + 2)
  ee
View Solution
ee  Frame a quadratic equation in x, whose solutions are - 8 ± 2i.
  ee
View Solution
ee  The area of a rectangle is 64 cm2 and its perimeter if 64 cm. Find the dimensions of the rectangle to the nearest hundredth.  ee View Solution
ee  Ed throws a stick straight up in the air from the ground. The function h = - 20t2 + 70t models the height h (in feet) of the stick above the ground after t seconds. Will the stick ever reach a height of 30 ft?  ee View Solution
ee  Tim throws a stick straight up in the air from the ground. The function h = - 16t2 + 48t models the height h (in feet) of the stick above the ground after t seconds. How many seconds does it take the stick to reach a height of 24 ft?  ee View Solution
ee  Check if the statement is true or false.
"A quadratic equation with real coefficients cannot have exactly one imaginary root."
  ee
View Solution
ee  Calculate the value of m if 36x2 + mx + 9 = 0 has two real solutions.
  ee
View Solution
ee  Match the function with its graph, using the discriminant y = 4x2 - 2.
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
- x2 + 3x - 5 = 0
  ee
View Solution
ee  Calculate the value of m if 25x2 + mx + 25 = 0 has two real solutions.
  ee
View Solution
ee  The number of quadratic equations which are unaltered by the squaring of their roots is
  ee
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ee  If α, β are the roots of x2 - 6x + a = 0 and γ, δ are the roots of x2 - 150x + b = 0 and the numbers α, β, γ and δ (in order) form an increasing G.P then ________
  ee
View Solution
ee  If one of the root of 9x2 + 19x + k = 0 is the reciprocal of the other then k = ______  ee View Solution
ee  Both the roots of the equation (x - a)(x - b) + (x - b)(x - c) + (x - c)(x - a) = 0 are always _________
  ee
View Solution
ee  If the equation k(3x2 + 3) + rx + 4x2 - 8 = 0 and 3k(2x2 + 2) + px + 8x2 - 16 = 0 have both the roots common then the value of 2r - p is ______
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ee  Calculate the value of m if 4x2 + mx + 4 = 0 has two imaginary solutions.
  ee
View Solution
ee  Solve the following equation using the quadratic formula.
x2 = 11x - 5
  ee
View Solution
ee  Without graphing, find out how many x-intercepts the given function has.
y = 0.8x2 + 8x + 20  ee
View Solution
ee  The number of roots of the equation 4 + x - 2 = x is ________  ee View Solution
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