Question

Solve the quadratic equation by completing the square.x^2+6x-1=0First choose the appropriate form and fill in the blank with the correct numbets. Then, solve the equation. Round your answer to the nerest hundredth. If there is more than one solutions, separate them with commas.

Answer 1

Answer:

Explanation:

Given the quadratic equation

x^2+6x-1=0

Step 1: Add 1 to both sides of the equation

x^2+6x-1 + 1 = 0 + 1

x^2 + 6x = 1

Step 2: Complete the square by adding the square of the half of coeficient of x to both sides

Coefficient of x = 6

Half of 6 = 6/2 = 3

Square of 3 = 3^2 = 9

Add 9 to both sides

x^2 + 6x + 3^2 = 1