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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

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

01

Step 1. Given information

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

02

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" $\frac{4}{3} x^{2} 脳 \frac{3}{4} = 108 脳 \frac{3}{4} x^{2} = 27 脳 3 x^{2} = 81$

03

Step 3. Use the Square Root Property.

$x = 卤 \sqrt{81}$

Simplify the radical.

$x = 卤 9$

04

Step 4. Rewrite to show two solutions.

$x = 9 x = - 9$

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