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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

Chapter 9: Q64. (page 480)

Solve the equation. Round to the nearest hundredth if necessary.
$1.5 n^{2} + 7 = 20$

Short Answer

Expert verified

$n = 2.94$

Step by step solution

01

Step 1. Given Information.

The given equation is $1.5 n^{2} + 7 = 20$ .

02

Step 2. Calculation.

The solution of the given equation will be

$\begin{matrix} 1.5 n^{2} + 7 = 20 \\ 1.5 n^{2} = 20 鈭� 7 \\ 1.5 n^{2} = 13 \\ n^{2} = \frac{13}{1.5} \end{matrix}$

Simplify it further.

$\begin{matrix} n = \sqrt{8.667} \\ = 2.943 \\ n 鈮� 2.94 \end{matrix}$

03

Step 3. Conclusion.

The solution of the given equation is $n = 2.94$ .

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