Question

. find a quadratte Equation for which sum of Root in 7
and Sum of square is 25.​

Answer 1

Step-by-step explanation:

Let the roots be α and β.

So,

α+β=1 and α 2 +β 2 =13

Now,

(α+β)

2 =α 2 +β 2 +2αβ

(1) 2 =13+2αβ

2αβ=−12

αβ=−6

We know that the equation will be

x

2 −(α+β)x+(αβ)=0

Therefore,

x 2 −x−6=0

Hence, this is the answer.