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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

Best Answer 

 #1
avatar+198 
+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
avatar+198 
+2
Best Answer

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

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