Chapter 10: Q14. (page 603)

Solve the equation.
$2 x^{2} + 7 x - 5 = - 1$

Short Answer

Expert verified

The solutions of the given equation are $x = - 4, \frac{1}{2}$ .

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 $a \neq 0$

Step 3. Solve the equation 2x2+7x−5=−1.

$2 x^{2} + 7 x - 5 = - 1 2 x^{2} + 7 x - 5 + 1 = 0 2 x^{2} + 7 x - 4 = 0 2 x^{2} + 8 x - x - 4 = 0 2 x (x + 4) - 1 (x + 4) = 0 (x + 4) (2 x - 1) = 0$

$x + 4 = 0$ or $2 x - 1 = 0$

$x = - 4$ or $2 x = 1$

$x = - 4$ or $x = \frac{1}{2}$

$x = - 4, \frac{1}{2}$

Therefore the solutions of the given equation are $x = - 4, \frac{1}{2}$ .

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Solve the equation.
$2 x^{2} + 7 x - 5 = - 1$

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 2x2+7x−5=−1.

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Solve the equation.2x2+7x−5=−1

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 2x2+7x−5=−1.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation.
$2 x^{2} + 7 x - 5 = - 1$