Use the quadratic formula to find both solutions to the quadratic equation given below x^2+6x=27

x=3 or x=−9

Step-by-step explanation:

Step 1: Subtract 27 from both sides.

x2+6x−27=27−27

x2+6x−27=0

Step 2: Factor left side of equation.

(x−3)(x+9)=0

Step 3: Set factors equal to 0.

x−3=0 or x+9=0

x=3 or x=−9

x=3 or x=−9

option (d) and (f) is correct.

The solution of given quadratic equation is 3 and -9.

Step-by-step explanation:

Given quadratic equation

We have to solve the given quadratic equation using quadratic formula.

Consider , we can rewrite it as

For the general quadratic equation the quadratic formula is given as

Here a = 1 , b= 6 and c = -27

Substitute, we get,

Solving further , we get,

We know , we get,

and

Solving we get,

and

and

Thus, the solution of given quadratic equation is 3 and -9.

Thus, option (d) and (f) is correct.