What are the solutions to the equation 9y^2-90y+8=0 ?

The solutions to the equation 9y^2-90y+8=0 are y=(15+sqrt(217))/3 ,y=(15-sqrt(217))/3

Find the zeros of 9y^2-90y+8=0

The zeros of 9y^2-90y+8=0 are y=(15+sqrt(217))/3 ,y=(15-sqrt(217))/3

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9 y^{2} - 90 y + 8 = 0

y = \frac{15 + 217}{3}, y = \frac{15 - 217}{3}

Decimal Notation

y = 9.91030 \dots, y = 0.08969 \dots

Solution steps

9 y^{2} - 90 y + 8 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 90 ) \pm ( - 90 ) ^{2} - 4 \cdot 9 \cdot 8}{2 \cdot 9}

(- 90)^{2} - 4 \cdot 9 \cdot 8 = 6217

y_{1, 2} = \frac{- ( - 90 ) \pm 6 217}{2 \cdot 9}

Separate the solutions

y_{1} = \frac{- ( - 90 ) + 6 217}{2 \cdot 9}, y_{2} = \frac{- ( - 90 ) - 6 217}{2 \cdot 9}

y = \frac{- ( - 90 ) + 6 217}{2 \cdot 9} : \frac{15 + 217}{3}

y = \frac{- ( - 90 ) - 6 217}{2 \cdot 9} : \frac{15 - 217}{3}

The solutions to the quadratic equation are:

y = \frac{15 + 217}{3}, y = \frac{15 - 217}{3}

- \frac{1}{5} x^{2} + 4 x + 1

x, x^{2} + y^{2} + z = 0

1 = 9 - x^{2}

- 13 = x^{2} - 7 x

x^{2} - 11 x - 9 = 0

What are the solutions to the equation 9y^2-90y+8=0 ?
The solutions to the equation 9y^2-90y+8=0 are y=(15+sqrt(217))/3 ,y=(15-sqrt(217))/3
Find the zeros of 9y^2-90y+8=0
The zeros of 9y^2-90y+8=0 are y=(15+sqrt(217))/3 ,y=(15-sqrt(217))/3