3 years ago

Rewrite the function by completing the square. f(x) = x^2 + 14x + 8

Mathematics

1 answer:

TiliK225 [7]3 years ago

4 0

Answer:

f(x) = (x + 7)^2 - 41

Step-by-step explanation:

f(x) = x^2 + 14x + 8

We take half of the coefficient of the x-term and square it.

Half of 14 is 7. 7 squared is 49. We add 49 to complete the square, but we then must subtract it at the end to not change the value of the function.

f(x) = x^2 + 14x + 49 + 8 - 49

f(x) = (x + 7)^2 - 41

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Alright, lets get started.

Jim was thinking of a number.

Suppose the number Jim was thinking, is x.

Jim adds 20 to it means number will be = $x+20$

And Jim doubles it, means $2*(x+20)$

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