What are the solutions to the equation 25x^3-100x^2-16x+64=0 ?

The solutions to the equation 25x^3-100x^2-16x+64=0 are x=4,x=-4/5 ,x= 4/5

Find the zeros of 25x^3-100x^2-16x+64=0

The zeros of 25x^3-100x^2-16x+64=0 are x=4,x=-4/5 ,x= 4/5

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25 x^{3} - 100 x^{2} - 16 x + 64 = 0

x = 4, x = - \frac{4}{5}, x = \frac{4}{5}

Decimal Notation

x = 4, x = - 0.8, x = 0.8

Solution steps

25 x^{3} - 100 x^{2} - 16 x + 64 = 0

Factor

25 x^{3} - 100 x^{2} - 16 x + 64 : (x - 4) (5 x + 4) (5 x - 4)

(x - 4) (5 x + 4) (5 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 4 = 0 or 5 x + 4 = 0 or 5 x - 4 = 0

Solve

x - 4 = 0 : x = 4

Solve

5 x + 4 = 0 : x = - \frac{4}{5}

Solve

5 x - 4 = 0 : x = \frac{4}{5}

The solutions are

x = 4, x = - \frac{4}{5}, x = \frac{4}{5}

- 5 x^{2} = 36 - x^{4}

x^{3} - 15 x - 1 = 0

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

(x^{2} + 1)^{2} - 2 x^{2} = 0

x^{6} - 64

What are the solutions to the equation 25x^3-100x^2-16x+64=0 ?
The solutions to the equation 25x^3-100x^2-16x+64=0 are x=4,x=-4/5 ,x= 4/5
Find the zeros of 25x^3-100x^2-16x+64=0
The zeros of 25x^3-100x^2-16x+64=0 are x=4,x=-4/5 ,x= 4/5