Chapter 7: Q. 3 (page 464)

Find the real solutions of $4 x^{2} - x - 5 = 0$

Short Answer

Expert verified

The real solution of the given equation is $(\frac{5}{4}, - 1)$ .

Step by step solution

Step 1. Given Information

We have to find the real solutions of $4 x^{2} - x - 5 = 0$

Step 2. Now solving the equation.

In the given equation, the product of first and last term is 20 and the middle term is 3. So the possible factors are 4 and 5.

Step 3. Solving.

$4 x^{2} - (5 - 4) x - 5 = 0 4 x^{2} - 5 + 4 x - 5 = 0 x (4 x - 5) + 1 (4 x - 5) = 0 (x + 1) (4 x - 5) = 0$

Step 4. Now putting the value equal to zero.

$4 x - 5 = 0 x + 1 = 0 4 x - 5 + 5 = 0 + 5 x + 1 - 1 = 0 - 1 4 x = 5 x = - 1 x = \frac{5}{4} x = - 1$

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Find the real solutions of $4 x^{2} - x - 5 = 0$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Now solving the equation.

Step 3. Solving.

Step 4. Now putting the value equal to zero.

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Find the real solutions of4x2-x-5=0

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Now solving the equation.

Step 3. Solving.

Step 4. Now putting the value equal to zero.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Decision Maths

Probability and Statistics

Applied Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the real solutions of $4 x^{2} - x - 5 = 0$