Chapter 9: Q. 14 (page 869)

In the following exercises, solve each equation.
$y^{2} + 45 = 0$

Short Answer

Expert verified

The solution of the equation is $y = 3 i \sqrt{5}, - 3 i \sqrt{5}$

Step by step solution

Step 1. Given information

In the given question we have to solve given equation.

$y^{2} + 45 = 0$

Step 2. The given equation is y2+45=0

Isolate the quadratic term.

Subtract 45 on both side

$y^{2} + 45 - 45 = 0 - 45 y^{2} = - 45$

Step 3. Use the Square Root Property.

$y = \pm \sqrt{- 45}$

Simplify using complex numbers.

We know $i^{2} = - 1$

$y = \pm \sqrt{45 i^{2}}$

Step 4. Simplify the radical.

$y = \pm \sqrt{5 \times 9 i^{2}} y = \pm 3 i \sqrt{5}$

Rewrite to show two solutions.

$y = 3 i \sqrt{5} y = - 3 i \sqrt{5}$

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In the following exercises, solve each equation.
$y^{2} + 45 = 0$

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y2+45=0

Step 3. Use the Square Root Property.

Step 4. Simplify the radical.

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In the following exercises, solve each equation.y2+45=0

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given equation is y2+45=0

Step 3. Use the Square Root Property.

Step 4. Simplify the radical.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Mechanics Maths

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each equation.
$y^{2} + 45 = 0$