Question

if the difference between the roots of the equation X-13x+k=0 is17 find k​

Answer 1

Answer:

k= -30

Step-by-step explanation:

x²-13x+k=0

here, a=1, b=-13, c=k

Let a, b be the roots of the equation. Then

a+b= -b/a = -(-13)/1=13...... (1) also a-b =17......(2)

(1) + (2) we get, 2a =30

a=15

Therefore, 15+b=13 ( from (1)) b= -2

But, ab=c/a=k/1 ➡️ 15×(-2)=k we get, k= -30

I hope it helps you.