What are the solutions to the equation 5x^5-7x^4+12x^3+8x^2=0 ?

The solutions to the equation 5x^5-7x^4+12x^3+8x^2=0 are x=0,x\approx-0.48334…

Find the zeros of 5x^5-7x^4+12x^3+8x^2=0

The zeros of 5x^5-7x^4+12x^3+8x^2=0 are x=0,x\approx-0.48334…

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5 x^{5} - 7 x^{4} + 12 x^{3} + 8 x^{2} = 0

x = 0, x \approx - 0.48334 \dots

Solution steps

5 x^{5} - 7 x^{4} + 12 x^{3} + 8 x^{2} = 0

Factor

5 x^{5} - 7 x^{4} + 12 x^{3} + 8 x^{2} : x^{2} (5 x^{3} - 7 x^{2} + 12 x + 8)

x^{2} (5 x^{3} - 7 x^{2} + 12 x + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x^{3} - 7 x^{2} + 12 x + 8 = 0

Solve

5 x^{3} - 7 x^{2} + 12 x + 8 = 0 : x \approx - 0.48334 \dots

The solutions are

x = 0, x \approx - 0.48334 \dots

x^{6} + 13 x^{4} + 36 x^{2} = 0

7 x^{5} - 33 x^{4} - 4 x^{2} + 3 x + 52 = 0

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

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

y^{4} - 25 y^{2} + 144 = 0

What are the solutions to the equation 5x^5-7x^4+12x^3+8x^2=0 ?
The solutions to the equation 5x^5-7x^4+12x^3+8x^2=0 are x=0,x\approx-0.48334…
Find the zeros of 5x^5-7x^4+12x^3+8x^2=0
The zeros of 5x^5-7x^4+12x^3+8x^2=0 are x=0,x\approx-0.48334…