Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Solve: $3 x^{2} - 2 x = - 1$

The value of $x = 1 \pm i \sqrt{2}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

Quadratic equation is:

$3 x^{2} - 2 x = - 1$

We can rewrite the equation as:

$3 x^{2} - 2 x + 1 = 0$

Step 2. Find solution of x.

By comparing $3 x^{2} - 2 x + 1 = 0$ , with standard quadratic equation: $a x^{2} + b x + c = 0$ .

We get,

a = 3 b = - 2 c = 1

Substitute these values in the formula and solve.

$x = \frac{- (- 2) \pm \sqrt{{(- 2)}^{2} - 4 (3) (1)}}{2 (1)} x = \frac{2 \pm \sqrt{4 - 12}}{2} x = \frac{2 \pm \sqrt{- 8}}{2} x = \frac{2 \pm \sqrt{8 i^{2}}}{2} x = \frac{2 \pm i 2 \sqrt{2}}{2} x = \frac{2 (1 \pm i \sqrt{2})}{2} x = 1 \pm i \sqrt{2}$

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Precalculus Enhanced with Graphing Utilities

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Short Answer

Solve: $3 x^{2} - 2 x = - 1$

Step by Step Solution

Step 1. Given information.

Step 2. Find solution of x.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Solve:3x2-2x=-1

Step by Step Solution

Step 1. Given information.

Step 2. Find solution of x.

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Solve: $3 x^{2} - 2 x = - 1$