What are the solutions to the equation x^3-6x^2+3x+10=0 ?

The solutions to the equation x^3-6x^2+3x+10=0 are x=-1,x=2,x=5

Find the zeros of x^3-6x^2+3x+10=0

The zeros of x^3-6x^2+3x+10=0 are x=-1,x=2,x=5

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x^{3} - 6 x^{2} + 3 x + 10 = 0

x = - 1, x = 2, x = 5

Solution steps

x^{3} - 6 x^{2} + 3 x + 10 = 0

Factor

x^{3} - 6 x^{2} + 3 x + 10 : (x + 1) (x - 2) (x - 5)

(x + 1) (x - 2) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 2 = 0 or x - 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 2 = 0 : x = 2

Solve

x - 5 = 0 : x = 5

The solutions are

x = - 1, x = 2, x = 5

x^{6} - 64 = 0

x^{3} + 125 = 0

x^{3} - 6 x^{2} + 12 x - 8 = 0

x^{3} + 5 x^{2} - 4 x - 20 = 0

w^{6} = - 2^{6}

What are the solutions to the equation x^3-6x^2+3x+10=0 ?
The solutions to the equation x^3-6x^2+3x+10=0 are x=-1,x=2,x=5
Find the zeros of x^3-6x^2+3x+10=0
The zeros of x^3-6x^2+3x+10=0 are x=-1,x=2,x=5