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Olegator [25]
3 years ago
12

Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation

?
Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

x2 - 12x = -6

Your next step would be to add 36 to both sides.

x2 - 12x + 36 = 30

In completing the square, we divide the term before x by 2, and then square it and add it to both sides.

12 / 2 = 6

6^2 = 36

That would be the next step.

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I need help on this question 5(x - 4) = 12
Wewaii [24]
<h2><u>Answer:</u></h2><h2><u />\boxed{\frac{32}{5},~ 6\frac{2}{5} ~, 6.4}<u /></h2><h2><u /></h2><h2><u>Solution Steps: </u></h2><h3>- Steps for solving linear equations - </h3>

______________________________

<h2><u> </u></h2><h3>1.) <u>Divide both sides by 5: </u></h3>
  • 5 ÷ 5= Cancels out
  • <u />12 ÷ 5= \frac{12}{5}

<em>  - I changed  </em>\frac{12}{5}<em> to a fraction instead, and you'll see why on the next step. </em>

<h2><em><u /></em></h2><h3>2.) <u>Add 4 to both sides:</u></h3>
  • -4+4= Cancels out
  • 4=\frac{20}{5}

<em>  - 4 in fraction form would best be </em>\frac{20}{5}<em> in this situation. </em>

<h2><em><u /></em></h2><h3>3.) <u>Add: </u></h3>
  • \frac{12}{5} + \frac{20}{5} = \frac{32}{5}

<em> - Since </em>\frac{12}{5}<em> and </em>\frac{20}{5}<em> have the same denominator, all you have to do is add the numerators. </em>

<h2><u /></h2><h3>4.) <u>Simplify:</u></h3>
  • Improper fraction form: \frac{32}{5}
  • Mixed number form: 6\frac{2}{5}
  • Decimal form: 6.4
<h2><u /></h2>

______________________________

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