What are the solutions to the equation 2y^3+3y^2-11y+3=0 ?

The solutions to the equation 2y^3+3y^2-11y+3=0 are y= 3/2 ,y=(-3+sqrt(13))/2 ,y=(-3-sqrt(13))/2

Find the zeros of 2y^3+3y^2-11y+3=0

The zeros of 2y^3+3y^2-11y+3=0 are y= 3/2 ,y=(-3+sqrt(13))/2 ,y=(-3-sqrt(13))/2

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2 y^{3} + 3 y^{2} - 11 y + 3 = 0

y = \frac{3}{2}, y = \frac{- 3 + 13}{2}, y = \frac{- 3 - 13}{2}

Decimal Notation

y = 1.5, y = 0.30277 \dots, y = - 3.30277 \dots

Solution steps

2 y^{3} + 3 y^{2} - 11 y + 3 = 0

Factor

2 y^{3} + 3 y^{2} - 11 y + 3 : (2 y - 3) (y^{2} + 3 y - 1)

(2 y - 3) (y^{2} + 3 y - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 y - 3 = 0 or y^{2} + 3 y - 1 = 0

Solve

2 y - 3 = 0 : y = \frac{3}{2}

Solve

y^{2} + 3 y - 1 = 0 : y = \frac{- 3 + 13}{2}, y = \frac{- 3 - 13}{2}

The solutions are

y = \frac{3}{2}, y = \frac{- 3 + 13}{2}, y = \frac{- 3 - 13}{2}

x^{5} = 64 x^{3}

2 x^{3} + 7 x + 3 = 0

6 x^{4} + 29 x^{3} + 23 x^{2} - 30 x = 0

x^{3} + 7 x^{2} - 49 x - 343 = 0

2 x^{4} - 15 x^{2} - 27 = 0

What are the solutions to the equation 2y^3+3y^2-11y+3=0 ?
The solutions to the equation 2y^3+3y^2-11y+3=0 are y= 3/2 ,y=(-3+sqrt(13))/2 ,y=(-3-sqrt(13))/2
Find the zeros of 2y^3+3y^2-11y+3=0
The zeros of 2y^3+3y^2-11y+3=0 are y= 3/2 ,y=(-3+sqrt(13))/2 ,y=(-3-sqrt(13))/2