Question

match the equation on the left with the correct solution on the right -5x² = -500 ?(x+2)² = 169 ?x²-49=0 ?x² =25 ?x = -5'5x= -10,10x = -15,11x = -7,7

Answer 1

the first equation is,

`\begin{gathered} -5x^2=-500^{} \\ 5x^2=500 \\ x^2=(500)/(5) \end{gathered}`

solve further,

`\begin{gathered} x^2=(500)/(5) \\ x^2=100 \\ x=\sqrt[]{100}=\pm10 \\ x=10,-10 \end{gathered}`

the second equation is

`\begin{gathered} (x+2)^2=169 \\ x+2=\sqrt[]{169} \\ x+2=\pm13 \\ x=13-2,\text{ -13-2} \\ x=11,-15 \end{gathered}`

the equation third is.

`\begin{gathered} x^2-49=0 \\ x^2=49 \\ x=\sqrt[]{49} \\ x=\pm7 \\ x=7,-7 \end{gathered}`

the fourth equation is,

`\begin{gathered} x^2=25 \\ x^2=\sqrt[]{25} \\ x=\pm5 \\ x=5,-5 \end{gathered}`