Chapter 9: Q. 15 (page 869)

In the following exercises, solve each equation.
$\frac{4}{3} x^{2} + 2 = 110$

Short Answer

Expert verified

The solution of the equation is $x = 9, - 9$

Step by step solution

Step 1. Given information

In the given question we have to solve given equation.
$\frac{4}{3} x^{2} + 2 = 110$

Step 2. The given equation is 43x2+2=110

Isolate the quadratic term.

Subtract 2 on both side

$\frac{4}{3} x^{2} + 2 - 2 = 110 - 2 \frac{4}{3} x^{2} = 108$

Multiply by $\frac{3}{4}$ on both side

role="math" localid="1645598473465" $\frac{4}{3} x^{2} \times \frac{3}{4} = 108 \times \frac{3}{4} x^{2} = 27 \times 3 x^{2} = 81$

Step 3. Use the Square Root Property.

$x = \pm \sqrt{81}$

Simplify the radical.

$x = \pm 9$

Step 4. Rewrite to show two solutions.

$x = 9 x = - 9$

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In the following exercises, solve each equation.
$\frac{4}{3} x^{2} + 2 = 110$

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is 43x2+2=110

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.43x2+2=110

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is 43x2+2=110

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

Theoretical and Mathematical Physics

Calculus

Statistics

Geometry

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each equation.
$\frac{4}{3} x^{2} + 2 = 110$