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
#Tag #SPJ2
