/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 260 Solve the equation by completing... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 260 (page 1236)

Solve the equation by completing square method.z-10z+2=28

Short Answer

Expert verified

The solutions arez=12,-4

Step by step solution

01

Given Information.   

The Given equation is z-10z+2=28

02

Simplify the expression  

z2-10z+2z-20=28z2-8z-20=28

03

Isolate the variable terms on one side and the constant terms on the other.The variable terms are on the left side.

z2-8z=48

The coefficient of zis -8

So ,b=-8

04

Find 12b2and add to the both sides of equation.

=12-82=-42=16

Add 16both side of equation

z2-8z+16=48+16z2-8z+16=64

05

Factor the perfect square trinomial as a binomial square   

z-42=64

Use square root property

z-4=卤64z-4=卤8z=卤8+4z=12,-4

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve2x2=98.

Solve the quadratic equation using square root property.

2r2=32

Solve the quadratic equation using square root property.

(a-4)2=28

Solve the quadratic equation using square root property.

3n2=48

The distance between opposite corners of a rectangular field is four more than the width of the field .The length of the field is twice its width . Find the distance between the opposite corners. Round to the nearest tenth.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.