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Chapter 11: Q. 98 E (page 1069)

Solve quadratic equations of the form x2+bx+c=0by completing the square.

In the following exercises , solve by completing the square.

(x-2)(x-6)=5

Short Answer

Expert verified

The required value ofxis7,1

Step by step solution

01

Given information

(x-2)(x-6)=5

02

Calculation

(x-2)(x-6)=5鈬�x(x-6)-2(x-6)=5鈬�x2-6x-2x+12=5鈬�x2-8x=5-12鈬�x2-8x=-7鈬�x2-8x+(12脳(-8))2=-7+16鈬�x2-8x+16=-7+16鈬�(x-4)2=9鈬�x-4=卤9=卤3鈬�x=4卤3=4+3,4-3=7,1

The required value ofxis7,1

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Most popular questions from this chapter

Simplify48.

Use the Zero Product Property in following exercises, solve.

3m(2m-5)(m+6)=0

Simplify-

(a) 75a9

(b)128m113

(c)62n74

In the following exercises, evaluate the function:

a.g(h2)b.g(x+2)c.g(x)+g(2)

Function:g(x)=7-5x

Simplify:

(a)(-256)14

(b)-25614

(c) (256)-14
See all solutions

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