Question

Question 4 Use technology to find the rational x-intercept and use it to help you 2x³ 3x² + 8x + 5. Hence, find the exact solutions of 2x3 - 3x² + 8x + 5 = 0 -​

Answer 1

x=(2+sqrt(-16))/2=1+2i=1.0000+2.0000i

Explanation:

Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

Step by step solution :

STEP

1

:

Equation at the end of step 1

(((2 • (x3)) - 3x2) + 8x) + 5 = 0

STEP

2

:

Equation at the end of step

2

:

((2x3 - 3x2) + 8x) + 5 = 0

STEP

3

:

Checking for a perfect cube

3.1 2x3-3x2+8x+5 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 2x3-3x2+8x+5

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 8x+5

Group 2: 2x3-3x2

Pull out from each group separately :

Group 1: (8x+5) • (1)

Group 2: (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.