Question

solve each equation using the square root property and match the equation to its solution.

1. $x^2 = 121$
2. $m^2 + 7 = 88$
3. $-5x^2 = -50$

a. $\pm 9$
b. $\pm 11$
c. $\pm \sqrt{10}$

1. choose
2. choose
3. choose

Explanation:

Step1: Solve \( x^2 = 121 \)

Using the Square Root Property, if \( x^2 = a \), then \( x=\pm\sqrt{a} \). For \( x^2 = 121 \), \( x = \pm\sqrt{121}=\pm 11 \), so it matches option B.

Step2: Solve \( m^2 + 7 = 88 \)

Subtract 7 from both sides: \( m^2=88 - 7=81 \). Then by Square Root Property, \( m=\pm\sqrt{81}=\pm 9 \), which matches option A.

Step3: Solve \( - 5x^2=-50 \)

Divide both sides by - 5: \( x^2 = 10 \). Then by Square Root Property, \( x=\pm\sqrt{10} \), which matches option C.

Answer:

1. B. \( \pm11 \)
2. A. \( \pm9 \)
3. C. \( \pm\sqrt{10} \)