Chapter 7: Q. 480 (page 901)

In the following exercises, solve:
$5 a^{2} + 26 a = 24$ .

Short Answer

Expert verified

The solution for the equation is,

$a = \frac{4}{5} a = - 6$

Step by step solution

Step 1. Given Inforrmation.

The equation is,

$5 a^{2} + 26 a = 24$ .

Step 2. Finding the solution.

$5 a^{2} + 26 a = 24 \Rightarrow 5 a^{2} + 26 a - 24 = 0$

Splitting the middle term such that the sum of the terms is $26$ and the product of the terms is $(- 120)$ .

$\Rightarrow 5 a^{2} + 30 a - 4 a - 24 = 0 \Rightarrow (5 a^{2} + 30 a) - (4 a + 24) = 0 \Rightarrow 5 a (a + 6) - 4 (a + 6) = 0 \Rightarrow (a + 6) (5 a - 4) = 0 \Rightarrow 5 a - 4 = 0$

or, role="math" localid="1647787660593" $a + 6 = 0$

$\Rightarrow 5 a = 4 \Rightarrow a = \frac{4}{5}$

or, $a = - 6$

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In the following exercises, solve:
$5 a^{2} + 26 a = 24$ .

Short Answer

Step by step solution

Step 1. Given Inforrmation.

Step 2. Finding the solution.

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In the following exercises, solve:5a2+26a=24.

Short Answer

Step by step solution

Step 1. Given Inforrmation.

Step 2. Finding the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve:
$5 a^{2} + 26 a = 24$ .