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Question
3x^{2}\times 14=20
Solve the quadratic equation
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Solve using square roots
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Solve using the quadratic formula
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Solve using the PQ formula
x_{1}=-\frac{\sqrt{210}}{21},x_{2}=\frac{\sqrt{210}}{21}
Alternative Form
x_{1}\approx -0.690066,x_{2}\approx 0.690066
Evaluate
3x^{2}\times 14=20
Multiply the terms
42x^{2}=20
Divide both sides
\frac{42x^{2}}{42}=\frac{20}{42}
Divide the numbers
x^{2}=\frac{10}{21}
Take the root of both sides of the equation and remember to use both positive and negative roots
x=\pm \sqrt{\frac{10}{21}}
Simplify the expression
x=\pm \frac{\sqrt{210}}{21}
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x=\frac{\sqrt{210}}{21}\\&x=-\frac{\sqrt{210}}{21}\end{align}
Solution
x_{1}=-\frac{\sqrt{210}}{21},x_{2}=\frac{\sqrt{210}}{21}
Alternative Form
x_{1}\approx -0.690066,x_{2}\approx 0.690066
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