Question

find the condition if the sun of the root of the roots of quadratic equation ax²-bx- c=0 is equal to the product of root ​

Answer 1

Step-by-step explanation:

Given equation:

ax²+bx+c = 0

Let a and ß be the roots of given quadratic equation

Sum of the roots i.e. a + B

Product of roots i.e.aß C a

It is given that, Sum of the roots = Sum of squares of the roots

-b a i.e. = a² + ß²

i.e. -b a (a + B)² - 2aß

2 -b a -b a 2c a i.e.

i.e. —ab = b² – 2ac

i.e. ab + b² = 2ac

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