Chapter 10: Q 329. (page 1240)

Solve the quadratic equations below. Use any method you want.
$x (x + 3) + 12 = 0$

Short Answer

Expert verified

There is no real solution because the square root of the negative number -39 is not real.

As a result, the equation has no solution.

Step by step solution

Given information.

The given equation is

$x (x + 3) + 12 = 0$

Step 2. Use the quadratic formula to solve the equation.

First, write the equation $a x^{2} + b x + c = 0$ a in standard form, as shown below.

[Use distributive property]

$x \cdot x + 3 \cdot x + 12 = 0 x^{2} + 3 x + 12 = 0$

In standard form, the equation is

$x^{2} + 3 x + 12 = 0$

Determine the a, b, and c values.

In comparison to the standard form, the values are a=1,b=3, and c=12.

In the quadratic formula, substitute a=1, b=3, and c= -12.

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

Put the value.

localid="1653830429546" $x = \frac{- 3 \pm \sqrt{{(3)}^{2} - 4 (1) (- 12)}}{2 (1)}$

As shown below, simplify the fraction.

$x = \frac{- 3 \pm \sqrt{9 - 48}}{2} x = \frac{- 3 \pm \sqrt{- 39}}{2}$

There is no real solution because the square root of the negative number -39 is not real.

As a result, the equation has no solution.

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Solve the quadratic equations below. Use any method you want.
$x (x + 3) + 12 = 0$

Short Answer

Step by step solution

Given information.

Step 2. Use the quadratic formula to solve the equation.

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Solve the quadratic equations below. Use any method you want.x(x+3)+12=0

Short Answer

Step by step solution

Given information.

Step 2. Use the quadratic formula to solve the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Pure Maths

Decision Maths

Statistics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the quadratic equations below. Use any method you want.
$x (x + 3) + 12 = 0$