Chapter 10: Q 229 (page 1236)

Solve Quadratic Equations Using the Square Root Property : ${(x - \frac{1}{4})}^{2} = \frac{3}{16}$

Short Answer

Expert verified

The required result is $x = \frac{\sqrt{3} + 1}{4}, \frac{- \sqrt{3} + 1}{4}$

Step by step solution

Given information .

The given expression is ${(x - \frac{1}{4})}^{2} = \frac{3}{16}$

Use square root property

${(x - \frac{1}{4})}^{2} = \frac{3}{16} (x - \frac{1}{4}) = \pm \sqrt{\frac{3}{16}} (x - \frac{1}{4}) = \pm \frac{\sqrt{3}}{4} x = \pm \frac{\sqrt{3}}{4} + \frac{1}{4} x = \frac{\sqrt{3} + 1}{4}, \frac{- \sqrt{3} + 1}{4}$

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Solve Quadratic Equations Using the Square Root Property : ${(x - \frac{1}{4})}^{2} = \frac{3}{16}$

Short Answer

Step by step solution

Given information .

Use square root property

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Solve Quadratic Equations Using the Square Root Property :x-142=316

Short Answer

Step by step solution

Given information .

Use square root property

One App. One Place for Learning.

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Solve Quadratic Equations Using the Square Root Property : ${(x - \frac{1}{4})}^{2} = \frac{3}{16}$