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Chapter 9: Q.442. (page 983)

Solve by using the quadratic formula.

5n2+2n-1=0

Short Answer

Expert verified

The solution isn=-1卤65.

Step by step solution

01

Step 1. Given information.

The given equation is5n2+2n-1=0.

02

Step 2. Write the equation in standard form.

The standard form of the quadratic equation is an2+bn+c=0.

5n2+2n-1=05n2+2n+(-1)=0

So, herea=5,b=2,c=-1.

03

Step 3. Apply the quadratic formula.

The quadratic formula is n=-b卤b2-4ac2a.

n=-2卤22-4脳5脳(-1)2脳5=-2卤4+2010=-2卤2410=-2卤262脳5=2-1卤62脳5=2-1卤62脳5=-1卤65

04

Step 4. Simplified answer.

Hence, the required solution is-1卤65.

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