Thursday, May 24, 2012

College Algebra, Chapter 1, 1.5, Section 1.5, Problem 28

Find all real solutions of the equation 46x=2x


46x=2xGiven(46x)2=(2x)2Square both sides46x=4x2Divide both sides by 4132x=x2Add 32x and subtract 1x2+32x1=0Factor out(x+2)(x12)=0Zero Product Propertyx+2=0 and x12=0Solve for xx=2 and x=12x=12The only solution that satisfy the equation 46x=2x

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