Solve the equation graphically in the given interval. State each answer rounded to two decimals.
4x3 + 4x2 = x + 1; [−2, 2]
+129840 4x3 + 4x2 = x + 1; [−2, 2]
4x3 + 4x2 = x + 1 rearranging, we have
4x3 + 4x2 - x - 1 = 0 factor this
4x2 (x + 1) -1(x+1) = 0 take out the common factor
(x + 1) (4x2 - 1) = 0 factor again
(x+1) (2x + 1)(2x - 1) = 0
And setting each factor to 0, we have that ..... x = -1 .... x= -1/2 (= -.50) and x = 1/2 (= .50)
And all of the solutions are within the given interval.....!!!
+129840 4x3 + 4x2 = x + 1; [−2, 2]
4x3 + 4x2 = x + 1 rearranging, we have
4x3 + 4x2 - x - 1 = 0 factor this
4x2 (x + 1) -1(x+1) = 0 take out the common factor
(x + 1) (4x2 - 1) = 0 factor again
(x+1) (2x + 1)(2x - 1) = 0
And setting each factor to 0, we have that ..... x = -1 .... x= -1/2 (= -.50) and x = 1/2 (= .50)
And all of the solutions are within the given interval.....!!!
