Solve x 2 6x 7 0 by completing the square


Asked by wiki @ in Mathematics viewed by 181 People


How would you solve x^2 -6x +7=0 to complete the square and solve the quadratic equation?

Answered by wiki @



The correct answers are x = 7 and x = -1.


In order to complete the square, you have to complete a process by which we make the equation a perfect square. To do this we need to follow the steps below.


x^2 - 6x + 7 = 0


Start by subtracting the constant away from the left side.


x^2 - 6x = 7


Now take half of the x term's coefficient and square it. Then you can add that to both sides. The x terms coefficient is -6. Half of that is -3. Then -3 squared is 9. So we add 9 to both sides.


x^2 - 6x + 9 = 16


Now the left side is a perfect square.


(x - 3)^2 = 16


Now we can subtract the coefficient back to the left.


(x - 3)^2 - 16 = 0




Do you know the better answer?

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