Question

1. match the equation to the solution. write the letter on the line.

____ $x^{2}+5=21$
a. $x=1$
____ $15-x^{2}=11$
b. $x=2$
____ $17-x=4^{2}$
c. $x=3$
____ $x^{2}=9$
d. $x=4$

Explanation:

Step1: Solve $x^2 + 5 = 21$

Subtract 5 from both sides:
$x^2 = 21 - 5 = 16$
Take square root: $x = \pm 4$, matches d.

Step2: Solve $15 - x^2 = 11$

Rearrange to isolate $x^2$:
$x^2 = 15 - 11 = 4$
Take square root: $x = \pm 2$, matches b.

Step3: Solve $17 - x = 4^2$

Calculate $4^2 = 16$, then isolate $x$:
$x = 17 - 16 = 1$, matches a.

Step4: Solve $x^2 = 9$

Take square root: $x = \pm 3$, matches c.

Answer:

$x^2 + 5 = 21$: d. $x = 4$
$15 - x^2 = 11$: b. $x = 2$
$17 - x = 4^2$: a. $x = 1$
$x^2 = 9$: c. $x = 3$