drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match each quadratic…

Explanation:

Step1: Solve $2x^{2}-32 = 0$

Add 32 to both sides: $2x^{2}=32$. Then divide by 2: $x^{2}=16$. Take square - roots: $x=\pm4$. So the solution set is ${-4,4}$.

Step2: Solve $4x^{2}-100 = 0$

Add 100 to both sides: $4x^{2}=100$. Divide by 4: $x^{2}=25$. Take square - roots: $x = \pm5$. So the solution set is ${-5,5}$.

Step3: Solve $x^{2}-55 = 9$

Add 55 to both sides: $x^{2}=9 + 55=64$. Take square - roots: $x=\pm8$. So the solution set is ${-8,8}$.

Step4: Solve $x^{2}-140=-19$

Add 140 to both sides: $x^{2}=-19 + 140 = 121$. Take square - roots: $x=\pm11$. So the solution set is ${-11,11}$.

Step5: Solve $2x^{2}-18 = 0$

Add 18 to both sides: $2x^{2}=18$. Divide by 2: $x^{2}=9$. Take square - roots: $x=\pm3$ (not in the given solution sets).

Answer:

${-8,8}\to x^{2}-55 = 9$ ${-4,4}\to2x^{2}-32 = 0$ ${-5,5}\to4x^{2}-100 = 0$ ${-11,11}\to x^{2}-140=-19$