Solve the following quadratic equations by extracting square roots.Answer the questions that follow.1. x²=162. t²=813. r²=100=04. x²-144=05. 2s²=50

Answer:1.  x=±42. t=±93. r=±104. x=±125. s=±5Step-by-step explanation:1. x^2 = 16Taking square root on both sides[tex]\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\[/tex]x=±42. t^2=81Taking square root on both sides[tex]\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}[/tex]t=±93. r^2-100=0[tex]r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}[/tex]r=±104. x²-144=0x²=144Taking square root on both sides[tex]\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}[/tex]x=±125. 2s²=50[tex]\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}[/tex]s=±5 ..