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 Quadratic Equations Solve a quadratic equation using square roots To solve the quadratic equations ax2 + c = 0 Isolate the variable. Thake the square root of both sides. $\fs2ax^2+c=0\;\Rightarrow\;ax^2=-c\;\Rightarrow\;x^2=\frac{-c}{a}\Rightarrow\;x=\pm\;sqrt{\frac{-c}{a}}$ Solve x2-225=0 $\fs2x^2-225=0\;\Rightarrow\;x^2=225\;\Rightarrow\;x=\pm\;sqrt{225}=\;\pm\;15$ x=15 or x=-15 Solve 4x2+100=0 $\fs24x^2+100\;=\;0\;\Rightarrow\;5x^2\;=\;-100\;\Rightarrow\;x^2\;=\;\frac{-100}{4}$$\Rightarrow\;x=\pm\;sqrt{-25}\;No\;real\;\;solution$ Solve $\fs1-25x^2+25\;=\;0$ No solution One solution x= Two solutions x1= x2=