Attempt following question by selecting a choice to answer.
D
If
limx→3 (x+172x-2) = l, limx→2 (4x-133-x) = m, then write the quadratic equation whose roots are
l,
m.
DD DDA.
Dx2 - 25 = 0
B.
Dx2 + 5
x - 25 = 0
C.
Dx2 + 5
x = 0
D.
Dx2 + 25 = 0
E.
Dx2 - 5
x + 25 = 0
D
A
Step 9: x2 - 25 = 0
Step 10: Therefore, the quadratic equation is x2 - 25 = 0
Step 1: l = limx→3 (x+172x-2)
Step 2: = limx→3(x+17)limx→3(2x-2)[Use the quotient rule of limits to evaluate l.]
Step 3: = 3+172(3)-2 = 5[Evaluate the limits.]
Step 4: m = limx→2 (4x-133-x)
Step 5: = limx→2(4x-13)limx→2(3-x)[Use the quotient rule of limits to evaluate m.]
Step 6: = 4(2)-133-2 = - 5[Evaluate the limits.]
Step 7: The quadratic equation whose roots are l, m is x2 - (l + m)x + lm = 0[Write the quadratic equation with roots l, m.]
Step 8: x2 - (5 - 5)x + (5)(- 5) = 0[Substitute the values of l and m.]