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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 6.92 (page 565)

Solve, $36 x^{2} = 121$

Short Answer

Expert verified

The value is $x = 卤 \frac{11}{6}$

Step by step solution

01

Given information

Given the equation , $36 x^{2} = 121$

02

Write in standard form

Writing in standard form, we get

$36 x^{2} = 121 36 x^{2} - 121 = 0 (6 x - 11) (6 x + 11) = 0 x = \frac{11}{6}, - \frac{11}{6}$

03

Checking the values

Checking, we get

$36 {(\frac{11}{6})}^{2} = 121 36 脳 \frac{121}{36} = 121 121 = 121$

This is true

04

Checking another value

Checking the value, we get

$36 {(- \frac{11}{6})}^{2} = 121 36 脳 \frac{121}{36} = 121 121 = 121$

So this is true

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Most popular questions from this chapter

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .

u^{2} + 101 u + 100

Factor Trinomials of the Form $a x^{2} + b x + c$ Using Trial and Error.

role="math" localid="1644572552533" $11 x^{2} + 34 x + 3$

In the following exercises, factor each trinomial of the form $x^{2} + b x + c$ .

$q^{2} - 13 q + 36$

In the following exercises, factor the greatest common factor from each polynomial.

$4 y^{2} + 8 y - 4$

Factor completely, $6 y^{3} + 18 y^{2} - 60 y$

See all solutions

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