Chapter 10: Q 10.18 (page 1162)

Solve ${(y - \frac{3}{4})}^{2} = \frac{7}{16}$ .

Short Answer

Expert verified

The solutions are $y = \frac{3}{4} + \frac{\sqrt{7}}{4}, y = \frac{3}{4} - \frac{\sqrt{7}}{4}$ .

Step by step solution

Given Information.

The Given equation is ${(y - \frac{3}{4})}^{2} = \frac{7}{16}$ .

Use the square root property.

$y - \frac{3}{4} = \pm \sqrt{\frac{7}{16}}$

Factor the radical.

$y - \frac{3}{4} = \pm \sqrt{\frac{7}{4 \times 4}} y - \frac{3}{4} = \pm \frac{\sqrt{7}}{4}$

Isolate the term.

$y = \frac{3}{4} \pm \frac{\sqrt{7}}{4}$

Rewrite to show two solutions.

$y = \frac{3}{4} + \frac{\sqrt{7}}{4}, y = \frac{3}{4} - \frac{\sqrt{7}}{4}$

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Solve ${(y - \frac{3}{4})}^{2} = \frac{7}{16}$ .

Short Answer

Step by step solution

Given Information.

Use the square root property.

Isolate the term.

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Solvey-342=716.

Short Answer

Step by step solution

Given Information.

Use the square root property.

Isolate the term.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Solve ${(y - \frac{3}{4})}^{2} = \frac{7}{16}$ .