Chapter 2: Q. 3 (page 126)

find the real solutions of each equation.
$x^{2} - 8 x - 9 = 0$

Short Answer

Expert verified

The solutions of the equation $x^{2} - 8 x - 9 = 0$ are

$x = - 1 & 9$

Step by step solution

Step 1. Given data

The given equation is

$x^{2} - 8 x - 9 = 0$

Step 2. use Factorisation

Factorize the equation

$x^{2} - 8 x - 9 = 0 x^{2} - 9 x + x - 9 = 0 x (x - 9) + 1 (x - 9) = 0 (x + 1) (x - 9) = 0$

Step 3. Apply product property

Use zero product property and consider

$(x + 1) = 0 x = - 1$

and $x - 9 = 0 x = 9$

solutions of the equation are $x = - 1 & 9$

Step 4. Verification

Substitute $- 1$ for x in the equation

role="math" localid="1645916235047" $x^{2} - 8 x - 9 = 0 {(- 1)}^{2} - 8 (- 1) - 9 \overset{?}{=} 0 1 + 8 - 9 \overset{?}{=} 0 0 = 0$

Substitute $9$ for x in the equation

$x^{2} - 8 x - 9 = 0 {(9)}^{2} - 8 (9) - 9 \overset{?}{=} 0 81 - 72 - 9 \overset{?}{=} 0 0 = 0$

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

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find the real solutions of each equation.
$x^{2} - 8 x - 9 = 0$

Short Answer

Step by step solution

Step 1. Given data

Step 2. use Factorisation

Step 3. Apply product property

Step 4. Verification

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find the real solutions of each equation.x2-8x-9=0

Short Answer

Step by step solution

Step 1. Given data

Step 2. use Factorisation

Step 3. Apply product property

Step 4. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Geometry

Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

find the real solutions of each equation.
$x^{2} - 8 x - 9 = 0$