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Chapter 10: Q 121 (page 1195)

Solve the equation using quadratic formula.

p2-6p-27=0

Short Answer

Expert verified

The roots arep=-3,p=9.

Step by step solution

01

 Given Information.    

The given equation isp2-6p-27=0.

02

Write the quadratic equation in standard form and identify  a,b,c.

p2-6p-27=0

The equation is in standard form.

So,

a=1,b=-6,c=-27

03

Substitute the values in quadratic formula.   

p=-b卤b2-4ac2ap=-(-6)卤(-6)2-4(1)(-27)2(1)p=6卤36+1082p=6卤1442

04

Use square root property. 

p=6卤122

Rewrite to show two solutions.

p1=6+122p1=182p1=9

and

p2=6-122p2=-62p2=-3

Thus, the roots arep=-3,p=9.

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