What are the solutions to the equation 75y^3+100y^2-3y-4=0 ?

The solutions to the equation 75y^3+100y^2-3y-4=0 are y=-4/3 ,y=-1/5 ,y= 1/5

Find the zeros of 75y^3+100y^2-3y-4=0

The zeros of 75y^3+100y^2-3y-4=0 are y=-4/3 ,y=-1/5 ,y= 1/5

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75 y^{3} + 100 y^{2} - 3 y - 4 = 0

y = - \frac{4}{3}, y = - \frac{1}{5}, y = \frac{1}{5}

Decimal Notation

y = - 1.33333 \dots, y = - 0.2, y = 0.2

Solution steps

75 y^{3} + 100 y^{2} - 3 y - 4 = 0

Factor

75 y^{3} + 100 y^{2} - 3 y - 4 : (3 y + 4) (5 y + 1) (5 y - 1)

(3 y + 4) (5 y + 1) (5 y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 y + 4 = 0 or 5 y + 1 = 0 or 5 y - 1 = 0

Solve

3 y + 4 = 0 : y = - \frac{4}{3}

Solve

5 y + 1 = 0 : y = - \frac{1}{5}

Solve

5 y - 1 = 0 : y = \frac{1}{5}

The solutions are

y = - \frac{4}{3}, y = - \frac{1}{5}, y = \frac{1}{5}

36 x^{3} + 24 x^{2} + 4 x = 0

925 = 5 x^{3}

x^{3} = - 12

0 = x^{3} + 6 x^{2} + 12 x + 8

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

What are the solutions to the equation 75y^3+100y^2-3y-4=0 ?
The solutions to the equation 75y^3+100y^2-3y-4=0 are y=-4/3 ,y=-1/5 ,y= 1/5
Find the zeros of 75y^3+100y^2-3y-4=0
The zeros of 75y^3+100y^2-3y-4=0 are y=-4/3 ,y=-1/5 ,y= 1/5