Question

Solve the equation.

x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.

Answer 1

Given that,

An equation :
`x^2 + 13x + 30 = 0`

To find,

The value of x.

Solution,

We have,
`x^2 + 13x + 30 = 0`

We can solve it as follows :

`x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10`

So, the solution of the given equations are -3 and -10.