Q7. Solve each equation by graphing.... [FREE SOLUTION]

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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 9: Q7. (page 597)

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.
$x^{2} 鈭� 5 = 鈭� 3 x$

Short Answer

Expert verified

The solutions of the equation are $鈭� 4 .2 & 1 .2$ .

Step by step solution

Step 1. Graph the equation.

Graph theequation $x^{2} 鈭� 5 = 鈭� 3 x$ to find the roots.

Step 2. State the interpretation of the graph.

In the graph of the equation, $x^{2} 鈭� 5 = 鈭� 3 x$ it can be observed that the x-intercepts appear to be at $鈭� 4.193 & 1.193$ , therefore, the solutions to the nearest tenth are $鈭� 4.2 & 1.2$

Step 3. Check the solutions.

To check the solutions, use the quadratic formula.

$x^{2} + b x + c = 0, 迟丑别苍鈥夆赌� x = 鈥夆赌� \frac{鈭� b 鈥夆赌� 卤鈥夆赌� \sqrt{b^{2} 鈭� 4 a c}}{2 a}$

$\begin{array}{l} x^{2} + 3 x 鈭� 5 = 0; 鈥夆赌� a = 1, 鈥夆赌� b = 鈥� 3, 鈥夆赌� c = 鈭� 5 \\ x = \frac{鈭� b 卤 \sqrt{b^{2} 鈭� 4 a c}}{2 a} \\ x = \frac{鈭� 3 卤 \sqrt{3^{2} 鈭� 4 (1) (鈭� 5)}}{2 (1)} \\ = \frac{鈭� 3 卤 \sqrt{29}}{2} \\ x = \frac{鈭� 3 鈭� \sqrt{29}}{2} 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌塧nd鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� x = \frac{鈭� 3 + \sqrt{29}}{2} \\ x = 鈭� 4.192 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€塧nd鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� x = 1.192 \end{array}$

Thus, the solutions are (nearest tenth): $鈭� 4.2 & 1.2$ .

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91影视

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.
$x^{2} 鈭� 5 = 鈭� 3 x$

Short Answer

Step by step solution

Step 1. Graph the equation.

Step 2. State the interpretation of the graph.

Step 3. Check the solutions.

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91影视

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.x2鈭�5=鈭�3x

Short Answer

Step by step solution

Step 1. Graph the equation.

Step 2. State the interpretation of the graph.

Step 3. Check the solutions.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Probability and Statistics

Theoretical and Mathematical Physics

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.
$x^{2} 鈭� 5 = 鈭� 3 x$