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solmaris [256]
3 years ago
9

Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0?

Mathematics
2 answers:
Viktor [21]3 years ago
5 0

I hope choices must be given in the problem.

I am showing the method to find the equivalent equation of the above equation. You can match with your given choices.

First step is to expand the first term. So,

(x-4)² = (x - 4)(x - 4) Since a²= a*a

= x² - 4x - 4x + 4 * 4 By multiplying.

= x² -8x + 16 Combine the like terms.

So, (x - 4)² - (x -4) - 6

= x² - 8x + 16 - x + 4 - 6

= x² - 9x + 14 Combine the like terms.

So, equivalent equation of the above equation is x² - 9x + 14 = 0.

katovenus [111]3 years ago
3 0

Answer:

D:    u2 – u – 6 = 0 where u = (x – 4)

Step-by-step explanation:

got it right on the test

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