What is the answer to 8y^{0.8}y^{0.8}y=8y^3 ?

The answer to 8y^{0.8}y^{0.8}y=8y^3 is y=0,y=-1,y=1

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8y^{0.8}y^{0.8}y=8y^3

8 y^{0.8} y^{0.8} y = 8 y^{3}

y = 0, y = - 1, y = 1

Solution steps

8 y^{0.8} y^{0.8} y = 8 y^{3}

Move

8 y^{3}

to the left side

8 (y^{0.8})^{2} y - 8 y^{3} = 0

Factor

8 (y^{0.8})^{2} y - 8 y^{3} : 8 y (y^{0.8} + y) (y^{0.8} - y)

8 y (y^{0.8} + y) (y^{0.8} - y) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

y = 0 or y^{0.8} + y = 0 or y^{0.8} - y = 0

Solve

y^{0.8} + y = 0 : y = 0, y = - 1

Solve

y^{0.8} - y = 0 : y = 0, y = 1

y = 0, y = - 1, y = 1

Verify Solutions:

y = 0

True

, y = - 1

True

, y = 1

True

The solutions are

y = 0, y = - 1, y = 1

4 a + 7 - 5 = 11

10 v - 24 = v

1.9 = 2 π \frac{L}{32}

5 = 5 x

t + 7 = t - 5

What is the answer to 8y^{0.8}y^{0.8}y=8y^3 ?
The answer to 8y^{0.8}y^{0.8}y=8y^3 is y=0,y=-1,y=1
Solve for y: 8y^{0.8}y^{0.8}y=8y^3
The solution is y=0,y=-1,y=1