Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 9: Q. 9.24TI (page 876)

Solve by completing the square: $y^{2} - 10 y = - 9$

Short Answer

Expert verified

The solution is $y = 1$ or $y = 9$ .

Step by step solution

Step 1. Given information

Equation: $y^{2} - 10 y = - 9$

Step 2. Calculation

We have,

$y^{2} - 10 y = - 9$

role="math" localid="1645158296890" $y^{2} - 10 y + {(\frac{1}{2} 路 (- 10))}^{2} = - 9 + {(\frac{1}{2} 路 (- 10))}^{2}$

role="math" localid="1645158307073" $y^{2} - 10 y + {(- 5)}^{2} = - 9 + {(- 5)}^{2}$

$y^{2} - 10 y + 25 = - 9 + 25$

${(y - 5)}^{2} = 16$

$\sqrt{{(y - 5)}^{2}} = \sqrt{16}$

$y - 5 = 卤 4$

$y - 5 = - 4$ or $y - 5 = 4$

$y - 5 + 5 = - 4 + 5$ or $y - 5 + 5 = 4 + 5$

$y = 1$ or $y = 9$

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91影视

Solve by completing the square: $y^{2} - 10 y = - 9$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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91影视

Solve by completing the square:y2-10y=-9

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

Mechanics Maths

Pure Maths

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Solve by completing the square: $y^{2} - 10 y = - 9$