Answer :
We start with the equation
[tex]$$
F^2 - 14 = 218 - 7.
$$[/tex]
Step 1. Simplify the right-hand side:
Calculate
[tex]$$
218 - 7 = 211.
$$[/tex]
Now the equation becomes
[tex]$$
F^2 - 14 = 211.
$$[/tex]
Step 2. Isolate [tex]$F^2$[/tex]:
Add 14 to both sides to get
[tex]$$
F^2 = 211 + 14 = 225.
$$[/tex]
Step 3. Solve for [tex]$F$[/tex] by taking the square root:
Taking the square root of both sides yields
[tex]$$
F = \sqrt{225} = 15 \quad \text{or} \quad F = -\sqrt{225} = -15.
$$[/tex]
Thus, the solutions for [tex]$F$[/tex] are [tex]$15$[/tex] and [tex]$-15$[/tex].
[tex]$$
F^2 - 14 = 218 - 7.
$$[/tex]
Step 1. Simplify the right-hand side:
Calculate
[tex]$$
218 - 7 = 211.
$$[/tex]
Now the equation becomes
[tex]$$
F^2 - 14 = 211.
$$[/tex]
Step 2. Isolate [tex]$F^2$[/tex]:
Add 14 to both sides to get
[tex]$$
F^2 = 211 + 14 = 225.
$$[/tex]
Step 3. Solve for [tex]$F$[/tex] by taking the square root:
Taking the square root of both sides yields
[tex]$$
F = \sqrt{225} = 15 \quad \text{or} \quad F = -\sqrt{225} = -15.
$$[/tex]
Thus, the solutions for [tex]$F$[/tex] are [tex]$15$[/tex] and [tex]$-15$[/tex].
