What are the solutions to the equation 3x^3-10x^2-9x+4=0 ?

The solutions to the equation 3x^3-10x^2-9x+4=0 are x=-1,x= 1/3 ,x=4

Find the zeros of 3x^3-10x^2-9x+4=0

The zeros of 3x^3-10x^2-9x+4=0 are x=-1,x= 1/3 ,x=4

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3 x^{3} - 10 x^{2} - 9 x + 4 = 0

x = - 1, x = \frac{1}{3}, x = 4

Decimal

x = - 1, x = 0.33333 \dots, x = 4

Solution steps

3 x^{3} - 10 x^{2} - 9 x + 4 = 0

Factor

3 x^{3} - 10 x^{2} - 9 x + 4 : (x + 1) (3 x - 1) (x - 4)

(x + 1) (3 x - 1) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or 3 x - 1 = 0 or x - 4 = 0

Solve

x + 1 = 0 : x = - 1

Solve

3 x - 1 = 0 : x = \frac{1}{3}

Solve

x - 4 = 0 : x = 4

The solutions are

x = - 1, x = \frac{1}{3}, x = 4

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

2 x^{3} + 3 x^{2} - 7 x - 4 = 0

x^{8} = - 3

20 x^{3} - 18 x = 0

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

What are the solutions to the equation 3x^3-10x^2-9x+4=0 ?
The solutions to the equation 3x^3-10x^2-9x+4=0 are x=-1,x= 1/3 ,x=4
Find the zeros of 3x^3-10x^2-9x+4=0
The zeros of 3x^3-10x^2-9x+4=0 are x=-1,x= 1/3 ,x=4