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Chapter 6: Q. 1 (page 437)

Find the real solutions, if any, of the equation2x2+x-1=0.

Short Answer

Expert verified

The real solutions of the equation arex=-1,12.

Step by step solution

01

Step 1. Given Information

The given equation is 2x2+x-1=0.

We need to find the real solutions of the equation.

02

Step 2. Simplifying the equation

The equation can also be written as:

2x2+2x-x-1=0⇒2x(x+1)-(x+1)=0⇒(2x-1)(x+1)=0

03

Step 3. Finding the solutions

When (2x-1)=0⇒2x=1⇒x=12

and when(x+1)=0⇒x=-1

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