Chapter 7: Q. 478 (page 901)

In the following exercises, solve:
$x^{2} + 9 x + 20 = 0$ .

Short Answer

Expert verified

The solution for the equation is,

$x = - 4 x = - 5$

Step by step solution

Step 1. Given Information.

The equation is,

$x^{2} + 9 x + 20 = 0$ .

Step 2. Finding the solution.

$x^{2} + 9 x + 20 = 0$ .

Splitting the middle term such that the sum of the terms is $9$ and the product of the terms is $20$ ,

$\Rightarrow x^{2} + 4 x + 5 x + 20 = 0 \Rightarrow (x^{2} + 4 x) + (5 x + 20) = 0 \Rightarrow x (x + 4) + 5 (x + 4) = 0 \Rightarrow (x + 4) (x + 5) = 0 \Rightarrow x + 4 = 0$

or, role="math" localid="1647719897934" $x + 5 = 0 \Rightarrow x = - 4$

or, $x = - 5$

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In the following exercises, solve:
$x^{2} + 9 x + 20 = 0$ .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Finding the solution.

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In the following exercises, solve:x2+9x+20=0.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Finding the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve:
$x^{2} + 9 x + 20 = 0$ .