What are the solutions to the equation y^4+7y^2+6y=0 ?

The solutions to the equation y^4+7y^2+6y=0 are y=0,y\approx-0.78740…

Find the zeros of y^4+7y^2+6y=0

The zeros of y^4+7y^2+6y=0 are y=0,y\approx-0.78740…

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y^{4} + 7 y^{2} + 6 y = 0

y = 0, y \approx - 0.78740 \dots

Solution steps

y^{4} + 7 y^{2} + 6 y = 0

Factor

y^{4} + 7 y^{2} + 6 y : y (y^{3} + 7 y + 6)

y (y^{3} + 7 y + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y^{3} + 7 y + 6 = 0

Solve

y^{3} + 7 y + 6 = 0 : y \approx - 0.78740 \dots

The solutions are

y = 0, y \approx - 0.78740 \dots

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

- 19.6 x^{3} + 29.067 x^{2} - 7.29 = 0

972 π = \frac{4}{3} π r^{3}

13 x^{3} + 182 x^{2} - 184 x + 2503 = 0

x^{4} + 2 x^{3} - x^{2} - 6 x - 3 = 0

What are the solutions to the equation y^4+7y^2+6y=0 ?
The solutions to the equation y^4+7y^2+6y=0 are y=0,y\approx-0.78740…
Find the zeros of y^4+7y^2+6y=0
The zeros of y^4+7y^2+6y=0 are y=0,y\approx-0.78740…