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Chapter 10: Q 10.60 (page 1187)

Solve the equation using quadratic formula.

5q2-11q+3=0

Short Answer

Expert verified

The roots areq=11+6110,q=11-6110.

Step by step solution

01

 Given Information.    

The given equation is5q2-11q+3=0.

02

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

5q2-11q+3=0

The equation is in standard form.

So,

a=5,b=-11,c=3

03

Substitute the values in quadratic formula. 

q=-b卤b2-4ac2aq=-(-11)卤(-11)2-4(5)(3)2(5)q=11卤121-6010q=11卤6110

04

Rewrite to show two solutions.

q=11+6110,q=11-6110

Thus, the roots areq=11+6110,q=11-6110.

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