What are the solutions to the equation 5x^3+13x^2-56x+20=0 ?

The solutions to the equation 5x^3+13x^2-56x+20=0 are x=2,x= 2/5 ,x=-5

Find the zeros of 5x^3+13x^2-56x+20=0

The zeros of 5x^3+13x^2-56x+20=0 are x=2,x= 2/5 ,x=-5

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5 x^{3} + 13 x^{2} - 56 x + 20 = 0

x = 2, x = \frac{2}{5}, x = - 5

Decimal Notation

x = 2, x = 0.4, x = - 5

Solution steps

5 x^{3} + 13 x^{2} - 56 x + 20 = 0

Factor

5 x^{3} + 13 x^{2} - 56 x + 20 : (x - 2) (5 x - 2) (x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

5 x - 2 = 0 : x = \frac{2}{5}

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 2, x = \frac{2}{5}, x = - 5

4 x^{3} + 42 x^{2} + 240 x + 800 = 0

x^{(4)} - 29 x^{(2)} + 100 = 0

- 2 x^{3} - 4 x^{2} + 10 x + 12 = 0

x, x^{4} - 11 x^{2} + 10 = 0

y^{3} + y^{2} = 25 y + 25

What are the solutions to the equation 5x^3+13x^2-56x+20=0 ?
The solutions to the equation 5x^3+13x^2-56x+20=0 are x=2,x= 2/5 ,x=-5
Find the zeros of 5x^3+13x^2-56x+20=0
The zeros of 5x^3+13x^2-56x+20=0 are x=2,x= 2/5 ,x=-5