Question

If the sum of roots of the quadratic equation (k + 2)x2 + (7k + 3)x – 10 = 0 (k ≠ –2)is equal to the product of roots, then the value of k is

Answer 1

Hey

Here is your answer,

Given ,

The sum of roots of the quadratic equation (k + 2)x2 + (7k + 3)x – 10 = 0 (k ≠ –2)is equal to the product of roots

Sum of zeroes = -b/a
= - ( 7k+3 ) / k+2

Product of zeroes = c/a
= -10/k+2

Sum of zeroes = Product of zeroes
-(7k+3) / k+2 = -10/k+2
-(7k+3) = -10
-7k + 3 = -10
-7k = -10 - 3
-13 = -7k
k = 13/7

Hope it helps you!