Chapter 9: Q. 16 (page 869)

In the following exercises, solve each equation.
$\frac{2}{3} y^{2} - 8 = - 2$

Short Answer

Expert verified

The solution of the equation is $y = 3, - 3$

Step by step solution

Step 1. Given information

In the given question we have to solve given equation.
$\frac{2}{3} y^{2} - 8 = - 2$

Step 2. The given equation is 23y2−8=−2

Isolate the quadratic term.

Add 8 on both side

$\frac{2}{3} y^{2} - 8 + 8 = - 2 + 8 \frac{2}{3} y^{2} = 6$

Multiply by $\frac{3}{2}$ on both side

localid="1645600337058" $\frac{2}{3} y^{2} \times \frac{3}{2} = 6 \times \frac{3}{2} y^{2} = 3 \times 3 y^{2} = 9$

Step 3. Use the Square Root Property.

$y = \pm \sqrt{9}$

Simplify the radical.

$y = \pm 3$

Step 4. Rewrite to show two solutions.

$y = 3 y = - 3$

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In the following exercises, solve each equation.
$\frac{2}{3} y^{2} - 8 = - 2$

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is 23y2−8=−2

Step 3. Use the Square Root Property.

Step 4. Rewrite to show two solutions.

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In the following exercises, solve each equation.23y2−8=−2

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is 23y2−8=−2

Step 3. Use the Square Root Property.

Step 4. Rewrite to show two solutions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Calculus

Probability and Statistics

Mechanics Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each equation.
$\frac{2}{3} y^{2} - 8 = - 2$