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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 9: Q. 44. (page 869)

Solve quadratic equation $9 y^{2} + 12 y + 4 = 9$ using square root property

Short Answer

Expert verified

The values of $y$ arelocalid="1645451343622" $\frac{1}{3}$ andlocalid="1645451351981" $- \frac{5}{3}$

Step by step solution

Step 1. Given information

The quadratic equation $9 y^{2} + 12 y + 4 = 9$

Step 2. Factor the perfect square trinomial

$鈬� {(3 y + 2)}^{2} = 9$

Step 3. Use square root property

$鈬� 3 y + 2 = 卤 3$

$鈬� 3 y = 卤 3 - 2$

$鈬� y = \frac{1}{3}$ and $y = - \frac{5}{3}$

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Solve quadratic equation9y2+12y+4=9 using square root property

Short Answer

Step by step solution

Step 1. Given information

Step 2. Factor the perfect square trinomial

Step 3. Use square root property

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Solve quadratic equation $9 y^{2} + 12 y + 4 = 9$ using square root property