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Question: If the roots of the equation \(ax^{2} + bx + c = 0\) be equal in magnitude but opposite in sign, the...

If the roots of the equation ax2+bx+c=0ax^{2} + bx + c = 0 be equal in magnitude but opposite in sign, then a,b,ca,b,c =

A

0

B

1

C

2

D

None of these

Answer

0

Explanation

Solution

Given equation 3q2=5q+23q^{2} = 5q + 2 can be written as

3p2q3p - 2q

Let roots are 3q2p3q - 2p and 3x25x100=03x^{2} - 5x - 100 = 0

5x23x100=05x^{2} - 3x - 100 = 0.