Question

In the following exercises, solve each equation. $\frac{2}{5} a^2+3=11$ 

   In the following exercises, solve each equation.
$\frac{2}{5} a^2+3=11$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 9, Problem 17 ↓
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In the following exercises, solve each equation. $\frac{2}{5} a^2+3=11$
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Transcript

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00:01 To begin this problem, we're going to isolate that variable by doing order of operations backwards.
00:04 We start with our adding and subtracting, so we're going to move my three to the other side.
00:08 I now have two -fifths, a -squared is equal to, 11 minus 3 is 8.
00:13 Next step, start to get rid of the fraction there, so i'm going to multiply by the reciprocal, and that will eliminate the 5 and the 2 on the left.
00:20 So now i have a -squared is equal to, 8 times 5 is 40, 40 divided by 2 is 20...
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