What are the solutions to the equation -3y^2+5y-15=-4y^2 ?

The solutions to the equation -3y^2+5y-15=-4y^2 are y=(-5+sqrt(85))/2 ,y=(-5-sqrt(85))/2

Find the zeros of -3y^2+5y-15=-4y^2

The zeros of -3y^2+5y-15=-4y^2 are y=(-5+sqrt(85))/2 ,y=(-5-sqrt(85))/2

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- 3 y^{2} + 5 y - 15 = - 4 y^{2}

y = \frac{- 5 + 85}{2}, y = \frac{- 5 - 85}{2}

Decimal Notation

y = 2.10977 \dots, y = - 7.10977 \dots

Solution steps

- 3 y^{2} + 5 y - 15 = - 4 y^{2}

Move

4 y^{2}

to the left side

y^{2} + 5 y - 15 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 15 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 15) = 85

y_{1, 2} = \frac{- 5 \pm 85}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- 5 + 85}{2 \cdot 1}, y_{2} = \frac{- 5 - 85}{2 \cdot 1}

y = \frac{- 5 + 85}{2 \cdot 1} : \frac{- 5 + 85}{2}

y = \frac{- 5 - 85}{2 \cdot 1} : \frac{- 5 - 85}{2}

The solutions to the quadratic equation are:

y = \frac{- 5 + 85}{2}, y = \frac{- 5 - 85}{2}

(- x + 6)^{2} - 12 = 0

- x^{2} - 70 x + 2139 = 0

25 y^{2} - 9 y - 180 = 0

5 x^{2} - 31 x - 72 = 0

80 + 40 x - 4.9 x^{2} = 0

What are the solutions to the equation -3y^2+5y-15=-4y^2 ?
The solutions to the equation -3y^2+5y-15=-4y^2 are y=(-5+sqrt(85))/2 ,y=(-5-sqrt(85))/2
Find the zeros of -3y^2+5y-15=-4y^2
The zeros of -3y^2+5y-15=-4y^2 are y=(-5+sqrt(85))/2 ,y=(-5-sqrt(85))/2