Respuesta :
Answer:
The values of x are
[tex]x=-\sqrt{7} , x=\sqrt{7}[/tex]
Step-by-step explanation:
we have
[tex]6x^{2}-42=0[/tex]
Solve for x
Adds 42 both sides
[tex]6x^{2}-42+42=0+42[/tex]
[tex]6x^{2}=42[/tex]
Divide by 6 both sides
[tex]6x^{2}/6=42/6[/tex]
simplify
[tex]x^2=7[/tex]
square root both sides
[tex]x=\pm\sqrt{7}[/tex]
therefore
The values of x are
[tex]x=-\sqrt{7} , x=\sqrt{7}[/tex]
The exact solution for the values of x in the given equation are: +√7 and -√7.
What are the exact values of x in the equation?
From the task content; it follows that the given equation is; 6x² - 42 = 0.
On this note, the evaluation for the values of x can be done as follows;
6x² - 42 = 0
6x² = 42
x² = 7
x = ±√7.
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