Q13. Solve the equation.x2鈭�7x+10=0... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 10: Q13. (page 603)

Solve the equation.
$x^{2} 鈭� 7 x + 10 = 0$

Short Answer

Expert verified

The solutions of the given equation are $x = \frac{4}{3}, 鈥� 鈭� \frac{1}{2}$ .

Step by step solution

Step 1. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign $" = "$ .

Step 2. Write the standard form of a quadratic equation.

The standard form of a quadratic equation is given by

$a x^{2} + b x + c = 0$ , where $a 鈮� 0$

Step 3. Solve the equation 6x2−5x−4=0.

$6 x^{2} 鈭� 5 x 鈭� 4 = 0 6 x^{2} 鈭� 8 x + 3 x 鈭� 4 = 0 2 x (3 x 鈭� 4) + 1 (3 x 鈭� 4) = 0 (3 x 鈭� 4) (2 x + 1) = 0$

$3 x 鈭� 4 = 0$ or $2 x + 1 = 0$

$3 x = 4$ or $2 x = 鈭� 1$

$x = \frac{4}{3}$ or $x = 鈭� \frac{1}{2}$

$x = \frac{4}{3}, 鈥� 鈭� \frac{1}{2}$

Therefore the solutions of the given equation are $x = \frac{4}{3}, 鈥� 鈭� \frac{1}{2}$ .

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91影视

Solve the equation.
$x^{2} 鈭� 7 x + 10 = 0$

Short Answer

Step by step solution

Step 1. Define an equation.

Step 2. Write the standard form of a quadratic equation.

Step 3. Solve the equation 6x2−5x−4=0.

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