What are the solutions to the equation 2y^4=100y^2 ?

The solutions to the equation 2y^4=100y^2 are y=0,y=-5sqrt(2),y=5sqrt(2)

Find the zeros of 2y^4=100y^2

The zeros of 2y^4=100y^2 are y=0,y=-5sqrt(2),y=5sqrt(2)

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2 y^{4} = 100 y^{2}

y = 0, y = - 52, y = 52

Decimal Notation

y = 0, y = - 7.07106 \dots, y = 7.07106 \dots

Solution steps

2 y^{4} = 100 y^{2}

Move

100 y^{2}

to the left side

2 y^{4} - 100 y^{2} = 0

Factor

2 y^{4} - 100 y^{2} : 2 y^{2} (y + 52) (y - 52)

2 y^{2} (y + 52) (y - 52) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y + 52 = 0 or y - 52 = 0

Solve

y + 52 = 0 : y = - 52

Solve

y - 52 = 0 : y = 52

The solutions are

y = 0, y = - 52, y = 52

y^{3} = 2

f^{4} - 4 f^{3} - 25 f = 0

- 16 x^{3} - 16 x^{2} + 60 x = 0

y, x = y^{3} - 2

12 = 305 \cdot x^{3}

What are the solutions to the equation 2y^4=100y^2 ?
The solutions to the equation 2y^4=100y^2 are y=0,y=-5sqrt(2),y=5sqrt(2)
Find the zeros of 2y^4=100y^2
The zeros of 2y^4=100y^2 are y=0,y=-5sqrt(2),y=5sqrt(2)