Question

root are given To form the quadratic equaction The required equation
- 8 ,6
please don't snap​

Answer 1

Explanation:

i am hope it will be help you

Answer 2

Answer:

Formula (i) is used for the formation of a quadratic equation when its roots are given.

For example suppose we are to form the quadratic equation whose roots are 5 and (-2). By formula (i) we get the required equation as

x2 - [5 + (-2)]x + 5 ∙ (-2) = 0

⇒ x2 - [3]x + (-10) = 0

⇒ x2 - 3x - 10 = 0

Solved examples to form the quadratic equation whose roots are given:

1. Form an equation whose roots are 2, and - 12.

Solution:

The given roots are 2 and -12.

Therefore, sum of the roots, S = 2 + (-12) = 32

And tghe product of the given roots, P = 2 ∙ -12 = - 1.

Therefore, the required equation is x2 – Sx + p

i.e., x2 - (sum of the roots)x + product of the roots = 0

i.e., x2 - 32x – 1 = 0

i.e, 2x2 - 3x - 2 = 0