What are the solutions to the equation 4x^3-24x^2-60x=0 ?

The solutions to the equation 4x^3-24x^2-60x=0 are x=0,x=3+2sqrt(6),x=3-2sqrt(6)

Find the zeros of 4x^3-24x^2-60x=0

The zeros of 4x^3-24x^2-60x=0 are x=0,x=3+2sqrt(6),x=3-2sqrt(6)

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4 x^{3} - 24 x^{2} - 60 x = 0

x = 0, x = 3 + 26, x = 3 - 26

Decimal Notation

x = 0, x = 7.89897 \dots, x = - 1.89897 \dots

Solution steps

4 x^{3} - 24 x^{2} - 60 x = 0

Factor

4 x^{3} - 24 x^{2} - 60 x : 4 x (x^{2} - 6 x - 15)

4 x (x^{2} - 6 x - 15) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 6 x - 15 = 0

Solve

x^{2} - 6 x - 15 = 0 : x = 3 + 26, x = 3 - 26

The solutions are

x = 0, x = 3 + 26, x = 3 - 26

(z - 2)^{3} = - 64

x, 2 x^{3} + 10 x^{2} - 24 = 0

4 x^{3} + 2 x - 18 = 0

y, x^{3} + y^{3} = 8

12 n^{2} + 48 n = - n^{3} - 64

What are the solutions to the equation 4x^3-24x^2-60x=0 ?
The solutions to the equation 4x^3-24x^2-60x=0 are x=0,x=3+2sqrt(6),x=3-2sqrt(6)
Find the zeros of 4x^3-24x^2-60x=0
The zeros of 4x^3-24x^2-60x=0 are x=0,x=3+2sqrt(6),x=3-2sqrt(6)