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Dafna11 [192]
3 years ago
6

Rewrite the function by completing the square. f(x) = x2 – 10x + 44 + f(x) = (x+

Mathematics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

f(x)=(x-5)^{2}+19

Step-by-step explanation:

we have

f(x)=x^{2}-10x+44

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-44=x^{2}-10x

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)-44+25=x^{2}-10x+25

f(x)-19=x^{2}-10x+25

Rewrite as perfect squares

f(x)-19=(x-5)^{2}

f(x)=(x-5)^{2}+19

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