Chapter 9: Q. 9.61 (page 902)

Solve :- ${(x - 5)}^{2} + 6 (x - 5) + 8 = 0$

Short Answer

Expert verified

Solution for equation will be -

$x = 1$
$x = 3$

Step by step solution

Step 1. Given Data

Quadratic Equation -

${(x - 5)}^{2} + 6 (x - 5) + 8 = 0$

Step 2. To Find

We have to solve it and find the value of x.

Step 3. Explanation

Let the value of $(x - 5) = u$

Then the equation is -

localid="1644921023094" ${(x - 5)}^{2} + 6 (x - 5) + 8 = 0$

Put the value of $(x - 5) = u$

$u^{2} + 6 u + 8 = 0$

$(u + 4) (u + 2) = 0$

By using Zero product property -

$u + 4 = 0$ , $u + 2 = 0$

$u = - 4$ , $u = - 2$

Step 4. Calculation

Replace u with $(x - 5)$

localid="1644921575355" $x - 5 = - 4$ , localid="1644921585195" $x - 5 = - 2$

localid="1644921593523" $x = - 4 + 5$ , localid="1644921602437" $x = - 2 + 5$

localid="1644921614280" $x = 1$ , localid="1644921624686" $x = 3$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve :- ${(x - 5)}^{2} + 6 (x - 5) + 8 = 0$

Short Answer

Step by step solution

Step 1. Given Data

Step 2. To Find

Step 3. Explanation

Step 4. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve :- (x-5)2+6(x-5)+8=0

Short Answer

Step by step solution

Step 1. Given Data

Step 2. To Find

Step 3. Explanation

Step 4. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Theoretical and Mathematical Physics

Calculus

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve :- ${(x - 5)}^{2} + 6 (x - 5) + 8 = 0$