What are the solutions to the equation 5y^3+6y^2+25y+30=0 ?

The solutions to the equation 5y^3+6y^2+25y+30=0 are y=-6/5 ,y=sqrt(5)i,y=-sqrt(5)i

Find the zeros of 5y^3+6y^2+25y+30=0

The zeros of 5y^3+6y^2+25y+30=0 are y=-6/5 ,y=sqrt(5)i,y=-sqrt(5)i

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5 y^{3} + 6 y^{2} + 25 y + 30 = 0

y = - \frac{6}{5}, y = 5 i, y = - 5 i

Solution steps

5 y^{3} + 6 y^{2} + 25 y + 30 = 0

Factor

5 y^{3} + 6 y^{2} + 25 y + 30 : (5 y + 6) (y^{2} + 5)

(5 y + 6) (y^{2} + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 y + 6 = 0 or y^{2} + 5 = 0

Solve

5 y + 6 = 0 : y = - \frac{6}{5}

Solve

y^{2} + 5 = 0 : y = 5 i, y = - 5 i

The solutions are

y = - \frac{6}{5}, y = 5 i, y = - 5 i

x^{3} - 6 x^{2} + 11 x - 6

y, x = y^{4}

10 x^{9} = 7 x

5 y^{4} - y^{2} + 2 y - 4 = 0

x^{4} - 2 x^{2} + 1

What are the solutions to the equation 5y^3+6y^2+25y+30=0 ?
The solutions to the equation 5y^3+6y^2+25y+30=0 are y=-6/5 ,y=sqrt(5)i,y=-sqrt(5)i
Find the zeros of 5y^3+6y^2+25y+30=0
The zeros of 5y^3+6y^2+25y+30=0 are y=-6/5 ,y=sqrt(5)i,y=-sqrt(5)i