What are the solutions to the equation 2x^3+3x^2-10x-15=0 ?

The solutions to the equation 2x^3+3x^2-10x-15=0 are x=-3/2 ,x=-sqrt(5),x=sqrt(5)

Find the zeros of 2x^3+3x^2-10x-15=0

The zeros of 2x^3+3x^2-10x-15=0 are x=-3/2 ,x=-sqrt(5),x=sqrt(5)

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2 x^{3} + 3 x^{2} - 10 x - 15 = 0

x = - \frac{3}{2}, x = - 5, x = 5

Decimal Notation

x = - 1.5, x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

2 x^{3} + 3 x^{2} - 10 x - 15 = 0

Factor

2 x^{3} + 3 x^{2} - 10 x - 15 : (2 x + 3) (x + 5) (x - 5)

(2 x + 3) (x + 5) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x + 3 = 0 or x + 5 = 0 or x - 5 = 0

Solve

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

x = - \frac{3}{2}, x = - 5, x = 5

z^{5} + 32 i = 0

(x + 2 b) (3 x^{2} - 16 x + 5) = 0

z^{3} + 4 = 5 + i

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

8 x^{4} - 32 x^{2} = 0

What are the solutions to the equation 2x^3+3x^2-10x-15=0 ?
The solutions to the equation 2x^3+3x^2-10x-15=0 are x=-3/2 ,x=-sqrt(5),x=sqrt(5)
Find the zeros of 2x^3+3x^2-10x-15=0
The zeros of 2x^3+3x^2-10x-15=0 are x=-3/2 ,x=-sqrt(5),x=sqrt(5)