Respuesta :

kimberlyskatezzz123
X=-3 is your answer

simplify the equation, cancel equal terms, move constant to the right, calculate, divide both sides !!!!
Hemo4

Answer: x=-3

Step-by-step explanation:

First let's eliminate the square root

[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]

Now subtract [tex]x^2\\[/tex] from both sides

[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]

Subtract 2 from both sides

[tex]-5x+2-2=17-2\\-5x=15[/tex]

Finally divide both sides by -5

[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]

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