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Chapter 9: Q.115 (page 898)

In the following exercises, solve by using the Quadratic Formula. 2p2-7p+3=0

Short Answer

Expert verified

The solution of the quadratic equation isp=3andp=12

Step by step solution

01

Given information

We are given a quadratic equation2p2-7p+3=0

02

identify the values of a,b,c

On comparing with the standard equation we geta=2,b=-7,c=3

03

Write quadratic formula and substitute the values in it

The quadratic formula can be given as

p=-b卤b2-4ac2a

On substituting the values we get

p=7卤49-4(2)(3)2(2)

04

Simplify

On simplifying we get

p=7卤49-244p=7卤254p=7卤54

On further simplifying we get

p=7+54p=124p=3andp=7-54p=24p=12

05

Conclusion

The solution of the quadratic equation isp=3andp=12

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