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 for review

  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.

news channels,news papers,and the internet

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.