/*! 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.15 Solve each equation by factoring... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q.15 (page 163)

Solve each equation by factoring or by using the quadratic formula. The quadratic formula is:

If ax2+bx+c=0, with a鈮�0, then x=-b卤b2-4ac2a.

v2+25=10v

Short Answer

Expert verified

The values of v are v=5,5.

Step by step solution

01

Step 1.  Understand the concept used 

If ax2+bx+c=0, witha鈮�0, then x=-b卤b2-4ac2a. Solving using factoring can be done by splitting the middle term of equation and then making groups and equating them to zero.

02

Step 2.  Substitute the values 

It is given that v2+25=10vwhich can we written as v2-10v+25=0.Using quadratic formula v=-b卤b2-4ac2a, substitute 1 for a, -10 for b and 25 for c.

Put the values in the formula and get

v=鈭�鈭�10卤鈭�102鈭�4脳1脳2521.

03

Step 3.  Simplify for v 

Simplify the expression for v.

v=鈭�鈭�10卤鈭�102鈭�4脳1脳2521=10卤100鈭�1002=10卤02

Therefore, the equation has two repeated roots v=102=5.

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

Suppose that 螖BIG鈮�螖CAT, then complete the following statement.

__鈮�AT炉

For the following figure, can the triangle be proved congruent. If so, what postulate can be used?

The pentagons shown are congruent. Complete.

?炉=m鈭�E

Copy each three-dimensional figure and with coloured pencils outline the triangles listed. What postulate proves that these triangles are congruent?

Given: pyramid with square base;VA=VB=VC=VD

Show: 鈻�VAB,鈻�VBC

State whether the congruence of triangles has the reflexive property, the symmetric property, the transitive property.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

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.