/*! 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. 451 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 451 (page 900)

In the following exercises, solve.

2p2-11p=40.

Short Answer

Expert verified

On solving, we get p=-52,8.

Step by step solution

01

Given information

Give equation is 2p2-11p=40.

We have to solve the given equation.

We will solve this by factoring in the equation and using the zero product rule.

02

Step 2. Zero Product rule

The zero product rule states that:

For a路b=0,a=0orb=0or both are equal to zero.

03

Step 3. Factorising

Given equation can be factorised into product of two linear terms as:

2p2-11p=40鈬�2p2-11p-40=0鈬�2p2-16p+5p-40=0鈬�2p(p-8)+5(p-8)=0鈬�(2p+5)(p-8)=0

04

Step 4. Finding the solution

According to Zero product rule:

2p+5=0鈬�p=-52or p-8=0鈬�p=8

Therefore the solution to the given equation is p=-52,8.

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

Factor:9xy2+6x2y2+21y3

A rectangular sign has an area of 30square feet. The length of the sign is one foot more than the width. Find the length and width of the sign.

Factor by grouping

4x2鈭�16x+3x鈭�12

The product of two consecutive integers is 420. Find the integers.

In the following exercises, solve:

x2+9x+20=0.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

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.