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Solve a quadratic equation by the square root method and write the solution in radical form simplify the solutions

Solve a quadratic equation by the square root method and write the solution in radical-example-1
User AndD
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The quadratic equation is given to be:


3x^2=36

Divide both sides by 3:


\begin{gathered} x^2=(36)/(3) \\ x^2=12 \end{gathered}

Recall the rule:


\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=√(f\left(a\right)),\:\:-√(f\left(a\right))

Therefore, we have that:


x=\pm√(12)

Simplifying the radical, we have:


√(12)=√(4\cdot3)=2√(3)

Therefore, the solution is:


x=2√(3)\text{ or }-2√(3)

User Armatorix
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