If the roots of the equation ax 2 + bx + c = 0, are the for…

Maths Quadratic Equations Solution of Quadratic Inequations and Miscellaneous Equations Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If the roots of the equation ax 2 + bx + c = 0, are the form and then the value of (a + b + c) 2 is -

2b 2 – ac

b 2 – 2ac

b 2 – 4ac

4b 2 – 2ac

Text Solution

Verified by Experts

The correct answer is:

(c + a) 2 + 4ac = – 2b (c + a)

⇒ (c + a) 2 + 2b(c + a) + b 2 = b 2 – 4ac

⇒ (a + b + c) 2 = b 2 – 4ac

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