Question

If the sum of the roots of the quadratic equation is 8 and
the sum of their squares is 34 find the quadratie
equation​

plz answer this correctly stepwise

I will mark u as brainliest

Answer 1

Step-by-step explanation:

given - a+b=8

a^2+b^2= 34

let the roots be a and b

a+b=8(given)

on sq both sides

(a+b)^2= 8^2

a^2+b^2+2ab=64

but it is given that a^2+b^2=34

so 34+2ab=64

2ab=30

ab=15. let it be eq 1

standard quadratuc eq - x^2-(a+b)X+ab

here a+b=8(given)

ab =15 from eq 1

so the eq is

x^2-8x+15

please mark BRAINIEST