To complete the square, we need to take half of the coefficient of x (-6/2 = -3) and square it ( (-3)^2 = 9). We then add and subtract this value from both sides:
x^2 - 6x = 7
x^2 - 6x + 9 - 9 = 7
(x - 3)^2 - 9 = 7
(x - 3)^2 = 16
Taking the square root of both sides, we get:
x - 3 = ±4
x = 3 ± 4
This gives us two solutions: x = 7 and x = -1.
Rounding to the nearest hundredth is not necessary in this case since the solutions are integers, but if it were, the answer would still be the same.
Therefore, the answer is:
D. x = 7, -1.
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2 – 6x = 7
A. x = 7, 1
B. x = –7, 1
C. x = –7, –1
D. x = 7, –1
1 answer
1 answer