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.
+373 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
+373 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
