Question

Solve the equation by completing the square. Round to the nearest hundredth if necessary.

 x2 – 6x = -8.

4, –2

 –4, 2

 4, 2

 –4, –2

Answer 1

Given equation x^2-6x = -8

To complete the squre add (half coefficient of x)^2 to each side.

x coefficient is -6.

So add 9 to each side.

x^2-6x+9 = -8+9

(x-3)^2 = 1

Apply squre root on each side.

x-3 = ±√1

Add 3 to each side.

x = 3±1

x = 3+1 and x = 3-1

x = 4 and 2

Roots are x = 4,2

Option 3 is correct choice.