What are the solutions to the equation 5x^3-23x^2+29x-15=0 ?

The solutions to the equation 5x^3-23x^2+29x-15=0 are x=3,x= 4/5+i 3/5 ,x= 4/5-i 3/5

Find the zeros of 5x^3-23x^2+29x-15=0

The zeros of 5x^3-23x^2+29x-15=0 are x=3,x= 4/5+i 3/5 ,x= 4/5-i 3/5

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5 x^{3} - 23 x^{2} + 29 x - 15 = 0

x = 3, x = \frac{4}{5} + i \frac{3}{5}, x = \frac{4}{5} - i \frac{3}{5}

Solution steps

5 x^{3} - 23 x^{2} + 29 x - 15 = 0

Factor

5 x^{3} - 23 x^{2} + 29 x - 15 : (x - 3) (5 x^{2} - 8 x + 5)

(x - 3) (5 x^{2} - 8 x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 3 = 0 or 5 x^{2} - 8 x + 5 = 0

Solve

x - 3 = 0 : x = 3

Solve

5 x^{2} - 8 x + 5 = 0 : x = \frac{4}{5} + i \frac{3}{5}, x = \frac{4}{5} - i \frac{3}{5}

The solutions are

x = 3, x = \frac{4}{5} + i \frac{3}{5}, x = \frac{4}{5} - i \frac{3}{5}

(x + 2)^{4} = 0

x^{4} - 4 x^{3} - 24 x^{2} + 20 x + 7 = 0

x = 9 x^{6} x 1 0^{22} x 1 0^{23}

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

4 x (x + 1) (x - 1) = 0

What are the solutions to the equation 5x^3-23x^2+29x-15=0 ?
The solutions to the equation 5x^3-23x^2+29x-15=0 are x=3,x= 4/5+i 3/5 ,x= 4/5-i 3/5
Find the zeros of 5x^3-23x^2+29x-15=0
The zeros of 5x^3-23x^2+29x-15=0 are x=3,x= 4/5+i 3/5 ,x= 4/5-i 3/5