. Find the value or values of x in the quadratic equation x2 = 6x – 9. A. x = 9 B. x = 3 C. x = –3, x = 2 D. x = 0, x = 1 Mark f
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1 answer:
Answer:
B. x = 3
Step-by-step explanation:
The equation can be rearranged to ...
x² -6x +9 = 0
(x -3)² = 0 . . . .show as the square it is
x -3 = 0 . . . . . take the square root*
x = 3 . . . . . . . . add 3
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* If the root were non-zero, there would be two of them: ±√( ). That would give rise to two possible values of x. That is not the case here, so there is only one solution.
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In the attached graph, the red curve represents the left side of the equation. The blue line represents the right side. They are equal at the one point where they intersect: (3, 9). That means when x=3, the equation becomes 9=9.
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