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

drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match each quadratic equation with its solution set. 2x² - 32 = 0 4x² - 100 = 0 x² - 55 = 9 x² - 140 = -19 2x² - 18 = 0 {-8, 8} {-4, 4} {-5, 5} {-11, 11} reset next
Answer
Answer:
{-8, 8} $\to$ $x^{2}-55 = 9$ {-4, 4} $\to$ $2x^{2}-32 = 0$ {-5, 5} $\to$ $4x^{2}-100 = 0$ {-11, 11} $\to$ $x^{2}-140=-19$
Explanation:
Step1: Solve $2x^{2}-32 = 0$
Add 32 to both sides: $2x^{2}=32$. Then divide by 2: $x^{2}=16$, so $x=\pm4$.
Step2: Solve $4x^{2}-100 = 0$
Add 100 to both sides: $4x^{2}=100$. Divide by 4: $x^{2}=25$, so $x = \pm5$.
Step3: Solve $x^{2}-55 = 9$
Add 55 to both sides: $x^{2}=64$, so $x=\pm8$.
Step4: Solve $x^{2}-140=-19$
Add 140 to both sides: $x^{2}=121$, so $x=\pm11$.
Step5: Solve $2x^{2}-18 = 0$
Add 18 to both sides: $2x^{2}=18$. Divide by 2: $x^{2}=9$, so $x=\pm3$ (not used in the given pairs).