What are the solutions to the equation 5x^3-9x+4=0 ?

The solutions to the equation 5x^3-9x+4=0 are x=1,x=(-5+sqrt(105))/(10),x=(-5-sqrt(105))/(10)

Find the zeros of 5x^3-9x+4=0

The zeros of 5x^3-9x+4=0 are x=1,x=(-5+sqrt(105))/(10),x=(-5-sqrt(105))/(10)

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5 x^{3} - 9 x + 4 = 0

x = 1, x = \frac{- 5 + 105}{10}, x = \frac{- 5 - 105}{10}

Decimal Notation

x = 1, x = 0.52469 \dots, x = - 1.52469 \dots

Solution steps

5 x^{3} - 9 x + 4 = 0

Factor

5 x^{3} - 9 x + 4 : (x - 1) (5 x^{2} + 5 x - 4)

(x - 1) (5 x^{2} + 5 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or 5 x^{2} + 5 x - 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

5 x^{2} + 5 x - 4 = 0 : x = \frac{- 5 + 105}{10}, x = \frac{- 5 - 105}{10}

The solutions are

x = 1, x = \frac{- 5 + 105}{10}, x = \frac{- 5 - 105}{10}

2 x^{5} = 25

z^{6} + 3 z^{3} - 4 = 0

y, a^{2} - 3 a y^{4} + 3 y^{8} - b = 0

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

4 x^{6} - 64 x^{2} = 0

What are the solutions to the equation 5x^3-9x+4=0 ?
The solutions to the equation 5x^3-9x+4=0 are x=1,x=(-5+sqrt(105))/(10),x=(-5-sqrt(105))/(10)
Find the zeros of 5x^3-9x+4=0
The zeros of 5x^3-9x+4=0 are x=1,x=(-5+sqrt(105))/(10),x=(-5-sqrt(105))/(10)