What are the solutions to the equation y^4-7y^2+6y^1=0 ?

The solutions to the equation y^4-7y^2+6y^1=0 are y=0,y=1,y=2,y=-3

Find the zeros of y^4-7y^2+6y^1=0

The zeros of y^4-7y^2+6y^1=0 are y=0,y=1,y=2,y=-3

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y^{4} - 7 y^{2} + 6 y^{1} = 0

y = 0, y = 1, y = 2, y = - 3

Solution steps

y^{4} - 7 y^{2} + 6 y^{1} = 0

Factor

y^{4} - 7 y^{2} + 6 y^{1} : y (y - 1) (y - 2) (y + 3)

y (y - 1) (y - 2) (y + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y - 1 = 0 or y - 2 = 0 or y + 3 = 0

Solve

y - 1 = 0 : y = 1

Solve

y - 2 = 0 : y = 2

Solve

y + 3 = 0 : y = - 3

The solutions are

y = 0, y = 1, y = 2, y = - 3

9 x^{3} - 63 x^{2} - 16 x + 112 = 0

y^{4} - 6 y^{2} + 8 = 0

20000 = 5000 (1 + \frac{x}{2})^{20}

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

x^{4} - 12 x^{2} + 20 = 0

What are the solutions to the equation y^4-7y^2+6y^1=0 ?
The solutions to the equation y^4-7y^2+6y^1=0 are y=0,y=1,y=2,y=-3
Find the zeros of y^4-7y^2+6y^1=0
The zeros of y^4-7y^2+6y^1=0 are y=0,y=1,y=2,y=-3