Awesomegirl2003 Awesomegirl2003

13-05-2020
Mathematics

contestada

What is the solution(s) to f(x) = g(x), where f(x) = x^2−2 and g(x) = 5x − 8

1

4

5

2

7

3

6

What is the solutions to fx gx where fx x22 and gx 5x 8 1 4 5 2 7 3 6 class=

Respuesta :

nktselepov nktselepov

13-05-2020

If f(x)=g(x), than x²-2=5x-8

Now we need to solve this equation

[tex]x^2-2=5x-8\\x^2-5x+6=0\\D=b^2-4ac=(-5)^2-4\times6=25-24=1=\sqrt{1} ^2\\x_1=\dfrac{5+1}{2}=3\\ x_2=\dfrac{5-1}{2} =2[/tex]

Answer: 2, 3

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