What are the solutions to the equation x^3-30x^2-1900x-18000=0 ?

The solutions to the equation x^3-30x^2-1900x-18000=0 are x=-20,x=5(5+sqrt(61)),x=5(5-sqrt(61))

Find the zeros of x^3-30x^2-1900x-18000=0

The zeros of x^3-30x^2-1900x-18000=0 are x=-20,x=5(5+sqrt(61)),x=5(5-sqrt(61))

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x^{3} - 30 x^{2} - 1900 x - 18000 = 0

x = - 20, x = 5 (5 + 61), x = 5 (5 - 61)

Decimal Notation

x = - 20, x = 64.05124 \dots, x = - 14.05124 \dots

Solution steps

x^{3} - 30 x^{2} - 1900 x - 18000 = 0

Factor

x^{3} - 30 x^{2} - 1900 x - 18000 : (x + 20) (x^{2} - 50 x - 900)

(x + 20) (x^{2} - 50 x - 900) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 20 = 0 or x^{2} - 50 x - 900 = 0

Solve

x + 20 = 0 : x = - 20

Solve

x^{2} - 50 x - 900 = 0 : x = 5 (5 + 61), x = 5 (5 - 61)

The solutions are

x = - 20, x = 5 (5 + 61), x = 5 (5 - 61)

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

x^{4} - 122 x^{2} + 121 = 0

(3 x^{2}) 5 = 3 (2 x^{5})

2 x^{3} - 16 = 0

2 + x^{3} - 2 x^{2} = 4 x - 6

What are the solutions to the equation x^3-30x^2-1900x-18000=0 ?
The solutions to the equation x^3-30x^2-1900x-18000=0 are x=-20,x=5(5+sqrt(61)),x=5(5-sqrt(61))
Find the zeros of x^3-30x^2-1900x-18000=0
The zeros of x^3-30x^2-1900x-18000=0 are x=-20,x=5(5+sqrt(61)),x=5(5-sqrt(61))