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

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

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

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

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

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

Decimal Notation

w = 2.10977 \dots, w = - 7.10977 \dots

Solution steps

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

Move

4 w^{2}

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

(7 x - 1) (2 x + 5) = 0

- 6 x^{2} - 46 x + 16 = 0

x^{2} + x - 90 = 0

8 = y^{2}

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

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