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

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

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

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

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

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

Solution steps

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

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

x^{7} = 2

x^{7} = 1

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

x^{100} = 100

x^{4} - 12 x^{3} + 46 x^{2} - 60 x + 16 = 0

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