Tuesday, January 23, 2018

College Algebra, Chapter 1, 1.5, Section 1.5, Problem 68

Find all solutions, real and complex of the equation x6+9x44x236=0


x6+9x44x236=0Given(x6+9x4)(4x2+36)=0Group termsx4(x2+9)4(x2+9)=0Factor out x4 and 4(x44)(x2+9)=0Factor out x44x44=0 and x2+9=0Zero Product Propertyx4=4 and x2=9Solve for xx=±44 and x=±9Recall that i2=1x=±44 and x=±9i2Simplifyx=±44 and x=±3i

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