What are the solutions to the equation 25x+8x^2-4x^3=50 ?

The solutions to the equation 25x+8x^2-4x^3=50 are x=2,x=-5/2 ,x= 5/2

Find the zeros of 25x+8x^2-4x^3=50

The zeros of 25x+8x^2-4x^3=50 are x=2,x=-5/2 ,x= 5/2

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25 x + 8 x^{2} - 4 x^{3} = 50

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

Decimal Notation

x = 2, x = - 2.5, x = 2.5

Solution steps

25 x + 8 x^{2} - 4 x^{3} = 50

Move

50

to the left side

25 x + 8 x^{2} - 4 x^{3} - 50 = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 4 x^{3} + 8 x^{2} + 25 x - 50 = 0

Factor

- 4 x^{3} + 8 x^{2} + 25 x - 50 : - (x - 2) (2 x + 5) (2 x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

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

Solve

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

The solutions are

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

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

x^{3} - 14 x^{2} + 48 x = 0

x^{4} - 2 x^{3} - 3 x^{2} + 8 x - 4 = 0

x^{3} = \frac{64}{343}

x^{3} + 5 x^{2} = 0

What are the solutions to the equation 25x+8x^2-4x^3=50 ?
The solutions to the equation 25x+8x^2-4x^3=50 are x=2,x=-5/2 ,x= 5/2
Find the zeros of 25x+8x^2-4x^3=50
The zeros of 25x+8x^2-4x^3=50 are x=2,x=-5/2 ,x= 5/2