What are the solutions to the equation roots 2x^5+3x^4-2x-3 ?

The solutions to the equation roots 2x^5+3x^4-2x-3 are x=-3/2 ,x=i,x=-i,x=-1,x=1

Find the zeros of roots 2x^5+3x^4-2x-3

The zeros of roots 2x^5+3x^4-2x-3 are x=-3/2 ,x=i,x=-i,x=-1,x=1

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roots

2 x^{5} + 3 x^{4} - 2 x - 3

x = - \frac{3}{2}, x = i, x = - i, x = - 1, x = 1

Solution steps

2 x^{5} + 3 x^{4} - 2 x - 3

The roots are the intercepts with the x-axis

(y = 0)

2 x^{5} + 3 x^{4} - 2 x - 3 = 0

Factor

2 x^{5} + 3 x^{4} - 2 x - 3 : (2 x + 3) (x^{2} + 1) (x + 1) (x - 1)

(2 x + 3) (x^{2} + 1) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 3 = 0 or x^{2} + 1 = 0 or x + 1 = 0 or x - 1 = 0

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

x^{2} + 1 = 0 : x = i, x = - i

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = - \frac{3}{2}, x = i, x = - i, x = - 1, x = 1

15 x^{4} - 12 x^{2} - 3 = 0

x^{4} + 25 = 26 x^{2}

2 x^{3} - 3 x^{2} - 11 x + 6

x^{4} = 5 x + 6

x^{3} + 8 x^{2} - 36 x = 288

What are the solutions to the equation roots 2x^5+3x^4-2x-3 ?
The solutions to the equation roots 2x^5+3x^4-2x-3 are x=-3/2 ,x=i,x=-i,x=-1,x=1
Find the zeros of roots 2x^5+3x^4-2x-3
The zeros of roots 2x^5+3x^4-2x-3 are x=-3/2 ,x=i,x=-i,x=-1,x=1