25dbrutsky
Answered

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Which of the following choices represent the zeros of the function g(x)=2(x-5)²-400?

Sagot :

Even though you didn't give us the zeros, i will find it for you

expanding g(x)=2(x-5)²-400

2x^2-20x-350

using quadratic formula, the zeros are

x=-19.142

and

x=9.142

x = 19.14, -9.14 are the zeros of function g(x)=2(x-5)²-400.

What is the zero of a function?

Zeros of a function indicates that for one or multiple input, the output will be zero.

Given,

g(x)=2(x - 5)²- 400

For the zero of this function, g(x) = 0.

Therefore, 2(x - 5)² - 400 = 0.

⇒ (x - 5)²- 200 = 0

⇒ x² - 10x + 25 - 200 = 0

⇒ x² - 10x - 175 = 0

⇒ x = [- (- 10) ± √{(-10)² - 4 × 1 × (- 175)}]/ (2 × 1) = [10 ± √{100 + 700}]/ 2

= [10 ± 28.28]/ 2

Hence, x = 19.14, -9.14.

Learn more about the zero of a function here: https://brainly.com/question/16633170

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