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Chapter 2: Q. 3 (page 126)

find the real solutions of each equation.

x2-8x-9=0

Short Answer

Expert verified

The solutions of the equation x2-8x-9=0are

x=-1&9

Step by step solution

01

Step 1. Given data 

The given equation is

x2-8x-9=0

02

Step 2. use Factorisation

Factorize the equation

x2-8x-9=0x2-9x+x-9=0x(x-9)+1(x-9)=0(x+1)(x-9)=0

03

Step 3. Apply product property 

Use zero product property and consider

(x+1)=0x=-1

andx-9=0x=9

solutions of the equation arex=-1&9

04

Step 4. Verification

Substitute -1 for x in the equation

role="math" localid="1645916235047" x2-8x-9=0(-1)2-8(-1)-9=?01+8-9=?00=0

Substitute 9 for x in the equation

x2-8x-9=0(9)2-8(9)-9=?081-72-9=?00=0

Both sides of the equation are the same for both solutions so the solution is correct.

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