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

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

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

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

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

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

Decimal Notation

x = 2.10977 \dots, x = - 7.10977 \dots

Solution steps

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

Move

4 x^{2}

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x^{2} - 8 x + 16 = 10

- 16 t^{2} - 16 = 0

x^{2} - 14 x + 54 = 0

10 m = 7 m^{2}

2 y^{2} - 5 y = 12

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