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Chapter 10: Q 101 (page 1195)

Solve the equation using quadratic formula.

2p2-7p+3=0

Short Answer

Expert verified

The solutions arep=12,3.

Step by step solution

01

 Given Information. 

The given equation is 2p2-7p+3=0.

02

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

The quadratic equation is in standard form.

So,

a=2,b=-7,c=3.

03

Substitute the values in quadratic formula. 

p=-b卤b2-4ac2ap=-(-7)卤(-7)2-4(2)(3)2(2)p=7卤49-244

Simplify the square root.

p=7卤254p=7卤54

04

Rewrite to show two solutions. 

p1=7+54p1=124=3,p2=7-54p2=24=12

Thus, the solutions arep=12,3.

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