Respuesta :

4x2-36=0
+36 +36
4x2=36
Divide by 4
X2=9
Square root of x2 is x and the square root of 9 is 3
X=3

Answer:

The solution set of equation [tex]4x^2-36=0[/tex] is 3 and -3.

Step-by-step explanation:

Given: Equation [tex]4x^2-36=0[/tex]

We have to find the solution set of equation [tex]4x^2-36=0[/tex]

Consider the given equation  [tex]4x^2-36=0[/tex]

Adding 36 both side, we get,

[tex]4x^2-36+36=36[/tex]

Simplify, we get,

[tex]4x^2=36[/tex]

Divide both side by 4, we get,

[tex]x^2=9[/tex]

Taking square root both side, we have,

[tex]x=\sqrt{9}[/tex]

Simplify, we get,

[tex]x=\pm 3[/tex]

Thus, The solution set of equation [tex]4x^2-36=0[/tex] is 3 and -3.