Chapter 9: Q. 112 E (page 886)

Solve the equation $y^{2} + 8 y = 48$ by completing the square and explain all your steps.

Short Answer

Expert verified

The solution is $y = - 12, y = 4$

Step by step solution

Step 1. Given information

Equation: $y^{2} + 8 y = 48$

Step 2. Calculation

We have,

$y^{2} + 8 y = 48$

$y^{2} + 8 y + {(\frac{1}{2} \cdot (8))}^{2} = 48 + {(\frac{1}{2} \cdot (8))}^{2}$ take half of 8 and square it, then add to both sides

$y^{2} + 8 y + 16 = 48 + 16$

${(y + 4)}^{2} = 64$ factor the perfect square trinomial

$\sqrt{{(y + 4)}^{2}} = \sqrt{64}$ using square root property

$y + 4 = \pm 8$ simplify

$y + 4 - 4 = - 8 - 4, y + 4 - 4 = 8 - 4$

$y = - 12, y = 4$

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Solve the equation $y^{2} + 8 y = 48$ by completing the square and explain all your steps.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Solve the equation y2+8y=48by completing the square and explain all your steps.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Statistics

Discrete Mathematics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Solve the equation $y^{2} + 8 y = 48$ by completing the square and explain all your steps.