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

The solutions to the equation 2x^3+x^2-3=0 are x=1,x=-3/4+i(sqrt(15))/4 ,x=-3/4-i(sqrt(15))/4

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

The zeros of 2x^3+x^2-3=0 are x=1,x=-3/4+i(sqrt(15))/4 ,x=-3/4-i(sqrt(15))/4

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

x = 1, x = - \frac{3}{4} + i \frac{15}{4}, x = - \frac{3}{4} - i \frac{15}{4}

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

2 x^{2} + 3 x + 3 = 0 : x = - \frac{3}{4} + i \frac{15}{4}, x = - \frac{3}{4} - i \frac{15}{4}

The solutions are

x = 1, x = - \frac{3}{4} + i \frac{15}{4}, x = - \frac{3}{4} - i \frac{15}{4}

5 x^{4} - 15 = 1 - 25 x - 110

12 + x^{3} = 4 x^{2} + 12

x^{6} = 1 0^{24}

7 y^{3} + 25 y^{2} = 12 y

8 x - 6 x^{2} - 2 x^{3} = 0

What are the solutions to the equation 2x^3+x^2-3=0 ?
The solutions to the equation 2x^3+x^2-3=0 are x=1,x=-3/4+i(sqrt(15))/4 ,x=-3/4-i(sqrt(15))/4
Find the zeros of 2x^3+x^2-3=0
The zeros of 2x^3+x^2-3=0 are x=1,x=-3/4+i(sqrt(15))/4 ,x=-3/4-i(sqrt(15))/4