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4 years ago

What is the x coordinate of the intersection of y=4x-10 and y=(x-2) to the power of 2 +2

Mathematics

1 answer:

aleksley [76]4 years ago

6 0

Answer:

Step-by-step explanation:

Equating the y-values gives an equation in x.

4x -10 = (x -2)^2 +2

0 = x^2 -4x +4 +2 -4x +10 . . . . . . . . eliminate parentheses, subtract 4x-10

x^2 -8x +16 = 0

(x -4)^2 = 0

x = 4

The x-coordinate of the one point of intersection is x = 4.

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