Question

drag the tiles to the correct boxes. not all tiles will be used. match each equation with a value of x that satisfies it. 2 9 -3 1 18 5 \boxed{\sqrt{x^2 + 7} = 4} \boxed{(x - 2)^{\frac{1}{4}} = 2} \boxed{\sqrt3{1 - x} = -1}

Explanation:

Step1: Solve $\sqrt{x^2 + 7} = 4$

Square both sides: $x^2 + 7 = 16$
Subtract 7: $x^2 = 9$
Take square roots: $x = \pm 3$. From tiles, $x = -3$ (or 3, but -3 is an option).

Step2: Solve $(x - 2)^{\frac{1}{4}} = 2$

Raise both sides to the 4th power: $x - 2 = 2^4 = 16$
Add 2: $x = 18$

Step3: Solve $\sqrt[3]{1 - x} = -1$

Cube both sides: $1 - x = (-1)^3 = -1$
Subtract 1: $-x = -2$
Multiply by -1: $x = 2$

Answer:

$\sqrt{x^2 + 7} = 4$ → -3
$(x - 2)^{\frac{1}{4}} = 2$ → 18
$\sqrt[3]{1 - x} = -1$ → 2