Respuesta :

mirai123

Answer:

[tex]x=-1[/tex]

or

[tex]x_{1} =-1\\x_{2}=-11[/tex]

Step-by-step explanation:

Equation given:

[tex]3(x+6)^2=75[/tex]

Divide both sides by 3    

[tex]$\frac{3(x+6)^2}{3} =\frac{75}{3} $[/tex]  

[tex](x+6)^2 =25\\[/tex]

Take the square root both sides

[tex]x+6 =5[/tex]        

Subtract 6 from both sides

[tex]x=-1[/tex]  

You probably expected that, but consider:

[tex]\left(x+6\right)^2=25[/tex]

[tex]x+6=\pm \sqrt{25}[/tex]

[tex]x+6=\pm 5[/tex]

[tex]x_{1} =-1\\x_{2}=-11[/tex]

The required order to solve the equation 3(x+6)^2=75 is,

  • Divide both sides by 3
  • Take the square root of both sides
  • Subtract 6 from both sides.

What is the equation?

The equation is the values of two expressions that are equal.

Here in order to solve the equation 3(x+6)^2=75.
Steps are
Divide both sides by 3
⇒ (x+6)^2=25

Take the square root of both sides
⇒ √(x+6)^2 = √25
⇒  x+6 = 5
Subtract 6 from both sides.
⇒ x = -1

Thus, steps to solve the equation has given above.

Learn more about the equation here:
https://brainly.com/question/10413253

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