Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

solve the quadratic equation by root method. Show all steps.

Solve The Quadratic Equation By Root Method Show All Steps class=

Sagot :

The root method requires us to leave the expression that is raised to the power of 2 on one side of the equality. We do so, by applying mathematical operations on both sides of the equation

We begin with the equation

[tex]2(x-4)^{2}-6=18[/tex]

First, we add 6 on both sides, so we get

[tex]2(x-4)^{2}=18+6=24[/tex]

Then, we divide boths sides by 2, so we get

[tex](x-4)^{2}=\frac{24}{2}=12[/tex]

Now, we take the square root on both sides. Have in mind that once we take the square root we should consider the positive and negative root. So we get

[tex]x-4=\pm\sqrt[]{12}[/tex]

Finally, we add 4 on both sides, so we get

[tex]x=4\pm\sqrt[]{12}[/tex]

This is equivalent to have the solutions

[tex]x=4+\sqrt[]{12}[/tex]

and

[tex]x=4-\sqrt[]{12}[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.