Question

The equation x^2 + Bx + C = 0 has 5 as the sum of its roots, and 15 as the sum of the square of its roots. The value of 'C' is :​

Answer 1

Answer:

C=5

Step-by-step explanation:

Let m and  n are the roots of

x^2 + Bx + C = 0

then m+n=-B/1=-B=5

so B=-5

mn=C

Also m^2+n^2=15

(m+n)^2-2mn=15

(-5)^2-2C=15

25-2C=15

2C=25-15=10

C=10/2=5