Problem of the Week

Updated at Jan 6, 2020 11:49 AM

To get more practice in equation, we brought you this problem of the week:

How would you solve the equation m2+22−3=6\frac{{m}^{2}+2}{2}-3=6?

Check out the solution below!



m2+22−3=6\frac{{m}^{2}+2}{2}-3=6

1
Simplify  m2+22\frac{{m}^{2}+2}{2}  to  1+m221+\frac{{m}^{2}}{2}.
1+m22−3=61+\frac{{m}^{2}}{2}-3=6

2
Simplify  1+m22−31+\frac{{m}^{2}}{2}-3  to  m22−2\frac{{m}^{2}}{2}-2.
m22−2=6\frac{{m}^{2}}{2}-2=6

3
Add 22 to both sides.
m22=6+2\frac{{m}^{2}}{2}=6+2

4
Simplify  6+26+2  to  88.
m22=8\frac{{m}^{2}}{2}=8

5
Multiply both sides by 22.
m2=8×2{m}^{2}=8\times 2

6
Simplify  8×28\times 2  to  1616.
m2=16{m}^{2}=16

7
Take the square root of both sides.
m=±16m=\pm \sqrt{16}

8
Since 4×4=164\times 4=16, the square root of 1616 is 44.
m=±4m=\pm 4

Done
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