Quadratic equations

Incomplete Quadratic Equations (ax²+c=0)

Quadratic equations of type ax² + c = 0 can be solved by solving for x. $\fs2ax^2+c=0\;\Rightarrow\;ax^2=-c\;\Rightarrow\;x^2=\frac{-c}{a}\Rightarrow\;x=\pm\;sqrt{\frac{-c}{a}}$

Solve x²-225=0
$\fs2x^2-225=0\;\Rightarrow\;x^2=225\;\Rightarrow\;x=\pm\;sqrt{225}=\;\pm\;15$

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 $\fs1-9x^2-4=0$

No solution
One solution x=
Two solutions x₁= x₂=