What are the solutions to the equation 2x^3-5x^2-10x+3=0 ?

The solutions to the equation 2x^3-5x^2-10x+3=0 are x=-3/2 ,x=2+sqrt(3),x=2-sqrt(3)

Find the zeros of 2x^3-5x^2-10x+3=0

The zeros of 2x^3-5x^2-10x+3=0 are x=-3/2 ,x=2+sqrt(3),x=2-sqrt(3)

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2 x^{3} - 5 x^{2} - 10 x + 3 = 0

x = - \frac{3}{2}, x = 2 + 3, x = 2 - 3

Decimal Notation

x = - 1.5, x = 3.73205 \dots, x = 0.26794 \dots

Solution steps

2 x^{3} - 5 x^{2} - 10 x + 3 = 0

Factor

2 x^{3} - 5 x^{2} - 10 x + 3 : (2 x + 3) (x^{2} - 4 x + 1)

(2 x + 3) (x^{2} - 4 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 3 = 0 or x^{2} - 4 x + 1 = 0

Solve

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

Solve

x^{2} - 4 x + 1 = 0 : x = 2 + 3, x = 2 - 3

The solutions are

x = - \frac{3}{2}, x = 2 + 3, x = 2 - 3

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

x^{4} = 2

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

z^{4} = 16

x^{6} + 65 x^{3} + 64 = 0

What are the solutions to the equation 2x^3-5x^2-10x+3=0 ?
The solutions to the equation 2x^3-5x^2-10x+3=0 are x=-3/2 ,x=2+sqrt(3),x=2-sqrt(3)
Find the zeros of 2x^3-5x^2-10x+3=0
The zeros of 2x^3-5x^2-10x+3=0 are x=-3/2 ,x=2+sqrt(3),x=2-sqrt(3)