What are the solutions to the equation x^4-200x^3-100x^2=0 ?

The solutions to the equation x^4-200x^3-100x^2=0 are x=0,x=10(10+sqrt(101)),x=10(10-sqrt(101))

Find the zeros of x^4-200x^3-100x^2=0

The zeros of x^4-200x^3-100x^2=0 are x=0,x=10(10+sqrt(101)),x=10(10-sqrt(101))

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x^{4} - 200 x^{3} - 100 x^{2} = 0

x = 0, x = 10 (10 + 101), x = 10 (10 - 101)

Decimal Notation

x = 0, x = 200.49875 \dots, x = - 0.49875 \dots

Solution steps

x^{4} - 200 x^{3} - 100 x^{2} = 0

Factor

x^{4} - 200 x^{3} - 100 x^{2} : x^{2} (x^{2} - 200 x - 100)

x^{2} (x^{2} - 200 x - 100) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 200 x - 100 = 0

Solve

x^{2} - 200 x - 100 = 0 : x = 10 (10 + 101), x = 10 (10 - 101)

The solutions are

x = 0, x = 10 (10 + 101), x = 10 (10 - 101)

x^{4} + 24 x^{3} + 122 x^{2} - 52 x + 25 = 0

y^{7} - 2 y^{5} + y^{3} = 0

a^{3} + a^{2} = 80

x^{3} - 2 x^{2} - 9 x + 18

(2 x - 2)^{2} (x - 2) = (2 x - 2) (x - 2)^{2}

What are the solutions to the equation x^4-200x^3-100x^2=0 ?
The solutions to the equation x^4-200x^3-100x^2=0 are x=0,x=10(10+sqrt(101)),x=10(10-sqrt(101))
Find the zeros of x^4-200x^3-100x^2=0
The zeros of x^4-200x^3-100x^2=0 are x=0,x=10(10+sqrt(101)),x=10(10-sqrt(101))