/*! 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. 157 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 157 (page 906)

In the following exercises, solve. x4-13x2-30=0

Short Answer

Expert verified

Solution for equation will be

  • x=+15
  • x=-15
  • x=+(-2)
  • x=-(-2)

Step by step solution

01

Step 1.  Given Data

Quadratic Equation isx4-13x2-30=0

02

Step 2.  To Find

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

03

Step 3.  Explanation

Let the value of x2=u

Then the equation is -

x4-13x2-30=0

(x2)2-13x2-30=0

Put the value of x2=u

u2-13u-30=0

(u-15)(u+2)=0

By using Zero product property -

u-15=0, u+2=0

u=15, u=(-2)

04

Step 4.  Calculation

Replace u with x2

x2=15, x2=(-2)

Using the square root property -

x=卤15, x=卤(-2)

There are four solutions -

  • x=+15
  • x=-15
  • x=+(-2)
  • x=-(-2)

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

Find the base and height of a triangle whose base is four inches more than six times its height and has an area of 456 square inches.

In the following exercises, solve by using the Quadratic Formula.3q2+8q-3=0

Explain the procedure for solving an equation in quadratic form.

In the following exercise, solve by completing the square.

z2+12z=-11

The couple took a small airplane for a quick flight up to the wine country for a romantic dinner and then returned home. The plane flew a total of 5 hours and each way the trip was 300 miles. If the plane was flying at 125 mph, what was the speed of the wind that affected the plane?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Pure 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.