Solve the equation 16x3+16x2=x+1 graphically on the interval [−2,2]. State each answer correct to two decimals.
16x3+16x2=x+116x3+16x2−x−1=0Subtract x and 1
Graphically, the equation 16x3+16x2−x−1 is equal to 0 at x≈−1, x≈−0.25 and x≈0.25
16x3+16x2−x−1=0Model(16x3+16x2)−(x+1)=0Group terms16x2(x+1)−(x+1)=0Factor out 16x2(16x2−1)(x+1)=0Factor out 16x2−116x2−1= and x+1=0Zero product propertyx=±√116 and x=−1Solve for x
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