Atraeus is solving the quadratic equation by completing the square. 7x^2 - 14x + 6 = 0 7x2 - 14x = - 6 A (x^2 - 2x) = - 6What is the value of A?

So we first minus 6 both sides

7x^2-14x=-6

then we have

A (x^2-2x) = - 6

what is A?

hmm (this should be painfully obvous, but if not, here are steps)

7x^2-14x=-6

A (x^2-2x) = - 6

7x^2-14x=-6=A (x^2-2x)

7x^2-14x=A (x^2-2x)

undistribute 7

7 (x^2-2x) = A (x^2-2x)

divide both sides by (x^2-2x)

7=A

A=7