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Serenity E.

asked • 01/03/14

Use the quadratic formula to find all solutions in the interval [0,2pi): tan^2x-6tanx+4=0

This is for my trig class. Thanks for the help!

2 Answers By Expert Tutors

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Steve S. answered • 01/05/14

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Tutoring in Precalculus, Trig, and Differential Calculus

Robert J. answered • 01/03/14

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Certified High School AP Calculus and Physics Teacher

Parviz F.

Quadratic formula is driven by , factoring by completing square of general quadratic of ax^2 + bx +c
 
    aX^2 + bX + C =0
 
    X ^2 + b/a X + C/a = 0
 
    X^2 + 2 b/2a  =   -c/a
 
     X^2 +2 b/2a + b^2/(4a^2) = -c/a +  b^2/ (4 a^2)
 
       ( X + b/ 2a) ^2  = ( b^2 - 4ac) / 4a^2
        
       X + b/2a = ±√(b^2- 4ac)/ 2a
 
        X = -b/2a ±√(b^2 -4ac) / 2a 
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01/05/14

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