Chapter 13: Q. 1 (page 870)

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

Short Answer

Expert verified

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

Step by step solution

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find solution of x.

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Solve:3x2-2x=-1

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Find solution of x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Mechanics Maths

Pure Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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