Answer:
Pa brainlest po ty
hope it helps
Step-by-step explanation:
The quadratic equation for which the sum of roots is 5 and the product of the roots is 5 is:
x² — 5 x + 5 = 0
And the roots are
x = (1/2)[ + 5 ± {(—5)² —4. 1. 5}½] = ½ ×[ 5 ± √5]
So roots are = (5 + √5)/2 and (5 —√5)/2
Sum of the roots = (5 + √5)/2 +(5 —√5)/2 = 10/2 =5
Product of the roots ={(5 + √5)/2}{5 —√5)/2} = [5² —(√5)²]/4 = (25 — 5)/4 = 20/4 = 5.
