Friday, February 22, 2019

College Algebra, Chapter 2, 2.3, Section 2.3, Problem 46

Solve the equation 16x3+16x2=x+1 graphically on the interval [2,2]. State each answer correct to two decimals.

16x3+16x2=x+116x3+16x2x1=0Subtract x and 1




Graphically, the equation 16x3+16x2x1 is equal to 0 at x1, x0.25 and x0.25


16x3+16x2x1=0Model(16x3+16x2)(x+1)=0Group terms16x2(x+1)(x+1)=0Factor out 16x2(16x21)(x+1)=0Factor out 16x2116x21= and x+1=0Zero product propertyx=±116 and x=1Solve for x

No comments:

Post a Comment