Question

What are the solutions of the equation?

z^2+7z+6=0

a. 1, -6
b. 1, 6
c. -1, 6
d. -1, -6

Answer 1

Option (D) is correct.

The solution of the quadratic equation
`z^2+7z+6=0` is -6 and -1

Explanation:

Consider the given quadratic equation
`z^2+7z+6=0`

We can solve the quadratic equation using middle term splitting method,

7z can be written as z+6z , we get,

`\Rightarrow z^2+7z+6=0`

`\Rightarrow z^2+z+6z+6=0`

Taking terms common, we get,

`\Rightarrow z(z+1)+6(z+1)=0`

Thus,
`\Rightarrow (z+6)(z+1)=0`

Thus, we get (z+6)= 0 or (z+1)= 0

this gives z= -6 or z= -1.

Thus, the solution of the quadratic equation
`z^2+7z+6=0` is -6 and -1