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Chapter 9: Q.114 (page 898)

In the following exercises, solve by using the Quadratic Formula.4n2-9n+5=0

Short Answer

Expert verified

The solution of the quadratic equation isn=1andn=54

Step by step solution

01

Given information

We are given a quadratic equation4n2-9n+5=0

02

Identify the values of a,b,c

On comparing with standard equation the values area=4,b=-9,c=5

03

Write the quadratic formula and substitute the values in it

The quadratic formula can be given as

n=-b卤b2-4ac2a

On substituting the values we get

n=9卤81-4(4)(5)2(4)

04

Simplify

On simplifying we get

n=9卤81-808n=9卤18n=9卤18

On further simplifying we get

n=9+18n=108n=54andn=9-18n=88n=1

05

Conclusion

The solution of the quadratic equation is

n=54andn=1

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