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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 60. (page 870)

Solve quadraic equation $v^{2} + 18 v + 81 = 50$ using square root property

Short Answer

Expert verified

The values of $v$ are $- 9 - 5 \sqrt{2}$ and $- 9 + 5 \sqrt{2}$

Step by step solution

Step 1. Given information

The quadratic equation $v^{2} + 18 v + 81 = 50$

Step 2. Factor the perfect square trinomial

$鈬� {(v + 9)}^{2} = 50$

Step 3. Use square root property

$鈬� v + 9 = 卤 5 \sqrt{2}$

$鈬� v = - 9 卤 5 \sqrt{2}$

$鈬� v = - 9 - 5 \sqrt{2}$ and $v = - 9 + 5 \sqrt{2}$

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Solve quadraic equationv2+18v+81=50 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 quadraic equation $v^{2} + 18 v + 81 = 50$ using square root property