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Chapter 7: Q. 3 (page 464)

Find the real solutions of4x2-x-5=0

Short Answer

Expert verified

The real solution of the given equation is54,-1.

Step by step solution

01

Step 1. Given Information

We have to find the real solutions of4x2-x-5=0

02

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.

03

Step 3. Solving.

4x2-(5-4)x-5=04x2-5+4x-5=0x(4x-5)+1(4x-5)=0(x+1)(4x-5)=0

04

Step 4. Now putting the value equal to zero.

4x-5=0x+1=04x-5+5=0+5x+1-1=0-14x=5x=-1x=54x=-1

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