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Solving Quadratic Equations with Square Roots

Solving Quadratic Equations with Square Roots 1.12 - Solution

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a

To solve the equation we need to square root both sides. We must make sure to remember also the negative solution.

x2=9x^2=9
x=±9x=\pm\sqrt{9}
x=±3x=\pm3
b

Here, we must first divide both sides by 2.2. Once that is done we can square root both sides.

2x2=322x^2=32
x2=16x^2=16
x=±16x=\pm\sqrt{16}
x=±4x=\pm4
c

Let's continue in the same way, and square root both sides of the equation.

x2=14x^2=\dfrac{1}{4}
x=±14x=\pm\sqrt{\dfrac{1}{4}}
x=±12x=\pm\dfrac{1}{2}
x=±0.5x=\pm0.5