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# algebra

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For what positive value of m will the following equation be true if n = 5?

(m + n)^2 + (m - n)^2 + m^2 + n^2 + 51 = 318.

Apr 8, 2021

#1
+320
+2

Hey there, Guest!

Alright, so I'll lead you step-by-step through this question.

Step 1: Simplify both sides of the equation.

$$3m^2+126=318$$

Step 2: Subtract 126 from both sides.

$$3m^2+126−126=318−126$$

$$3m^2=192$$

Step 3: Divide both sides by 3.

$$\frac{3m^2}{3}$$$$=\frac{192}{3}$$

$$m^2=64$$

Step 4: Take square root.

$$m=±√64$$

Therefore, m=8 when n=5.

Hope this helped! :)

( ﾟдﾟ)つ Bye

Apr 8, 2021

#1
+320
+2

Hey there, Guest!

Alright, so I'll lead you step-by-step through this question.

Step 1: Simplify both sides of the equation.

$$3m^2+126=318$$

Step 2: Subtract 126 from both sides.

$$3m^2+126−126=318−126$$

$$3m^2=192$$

Step 3: Divide both sides by 3.

$$\frac{3m^2}{3}$$$$=\frac{192}{3}$$

$$m^2=64$$

Step 4: Take square root.

$$m=±√64$$

Therefore, m=8 when n=5.

Hope this helped! :)

( ﾟдﾟ)つ Bye

TaliaArticula Apr 8, 2021