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Chapter 9: Q.117 (page 898)

In the following exercises, solve by using the Quadratic Formula:p2+7p+12=0

Short Answer

Expert verified

The solution of the above equation isp=-3andp=-4

Step by step solution

01

Given information

We are given a quadratic equationp2+7p+12=0

02

Identify the values of a,b,c

On comparing with standard equation we geta=1,b=7,c=12

03

Write the 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(1)(12)2(1)

04

Simplify

On simplifying the equation we get,

p=-7卤49-482p=-7卤12p=-7卤12

On further simplifying we get

p=-7+12p=-62p=-3andp=-7-12p=-82p=-4

05

Conclusion

The solution of the quadratic equation isp=-3andp=-4

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