Question

Use the cards below to create a list of steps, in order, that will solve the following equation. 3(x+6)^2=75

Answer 1

Answer:

$x=-1$

or

$x_{1} =-1\\x_{2}=-11$

Step-by-step explanation:

Equation given:

$3(x+6)^2=75$

Divide both sides by 3    

$\frac{3(x+6)^2}{3} =\frac{75}{3}$  

$(x+6)^2 =25$

Take the square root both sides

$x+6 =5$        

Subtract 6 from both sides

$x=-1$  

You probably expected that, but consider:

$\left(x+6\right)^2=25$

$x+6=\pm \sqrt{25}$

$x+6=\pm 5$

$x_{1} =-1\\x_{2}=-11$

Answer 2

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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