Attempt following question by selecting a choice to answer.
c
The solutions of the quadratic equation
x2 +
px +
q = 0 are
l and
m. Write a quadratic equation that has
l2 and
m2 as the solutions.
f cA.
c4
x2 + 2
px +
q = 0
B.
c4
x2 -
px + 2
q = 0
C.
cx2 +
px +2
q = 0
D.
c2
x2 +
px +
q = 0
c
A
Step 1: x2 - px + q = 0[Original equation.]
Step 2: a = 1, b = -p, c = q[Compare with ax2 + bx + c = 0.]
Step 3: l + m = -ba = -(-p)1
Step 4: lm = ca = q1 = q
Step 5: The quadratic equation with solutions l2 and m2 is x2 - (l2 + m2)x + (l2)(m2) = 0.
Step 6: x2 - (l+m2)x + lm4 = 0
Step 7: x2+ p2(x) + q4=0
Step 8: So, 4x2 + 2px+ q = 0