Q. 304 Solve the following exercise聽14... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 6: Q. 304 (page 627)

Solve the following exercise
$14 y^{2} - 77 y = - 35$

Short Answer

Expert verified

The solution of the given equation is $y = \frac{1}{2} o r y = 5$ $14 y^{2} - 77 y = - 35$

Step by step solution

Step 1. given information

The given equation $14 y^{2} - 77 y = - 35$

Step 2. Simplify the quadratic equation

Simplifying the given equation

$(a - b) (a + b) = 0 a - b = 0 o r a + b = 0 a = - b o r a = b Simplify the quadratic expression : 14 y^{2} - 77 y = - 35 [Given the expression] 14 y^{2} - 77 y + 35 = 0 [Write the quadratic equation of standard form] 7 (2 y^{2} - 11 y + 5) = 0 [Factor out 7 from expression] 7 (2 y^{2} - 10 y - y + 5) = 0 [Since; - 11 - - 10 y - y] 7 (2 y (y - 5) - 1 (y - 5)) = 0 [Factor out the common factor from group] 7 (2 y - 1) (y - 5) = 0 [Factor the common factor from expression] 7 鈮� 0 o r 2 y - 1 - 0 o r y - 5 - 0 [Use the zero product property] o r y = 1 / 2 o r y = 5$

Step 3. Checking the equation

$Check Substitute them value y = 1 / 2 in the original equation . 14 y^{2} - 77 y = - 35 [G i v e n e q u a t i o n] 14 脳 (\frac{1}{2})^{2} - 77 (\frac{1}{2}) = - 35 [P u t y = \frac{1}{2}] \frac{7}{2} - \frac{77}{2} = - 35 - 35 = - 35 True Substitute the value y = 5 in the original equation . 14 y^{2} - 77 y = - 35 [Given equation] 14 (5) 虏 - 77 (5) = - 35 [P u t, y = 5] 350 - 385 - 35 - 35 = - 35 T r u e T h e a n s w e r i s y = 1 / 2, y = 5$

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91影视

Solve the following exercise
$14 y^{2} - 77 y = - 35$

Short Answer

Step by step solution

Step 1. given information

Step 2. Simplify the quadratic equation

Step 3. Checking the equation

One App. One Place for Learning.

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91影视

Solve the following exercise14y2-77y=-35

Short Answer

Step by step solution

Step 1. given information

Step 2. Simplify the quadratic equation

Step 3. Checking the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Geometry

Pure Maths

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve the following exercise
$14 y^{2} - 77 y = - 35$