Question

the difference between the roots of the equation
x^2-13x+k=0 is 7 find k

Answer 1

Answer:

(169 - 49/4) /4

Step-by-step explanation:

Roots by sridharacharya is,

X1 ={ - (-13) + ( -13*-13 - 4*1*k)^1/2}/2

X2 ={ - (-13) - ( -13*-13 - 4*1*k)^1/2}/2

X1 - X2 =7

So, (x1-x2) ^2 =49

4(169 - 4k) =49

K = (169 - 49/4) /4