What are the solutions to the equation z^2+2z-15=-3z ?

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

Find the zeros of z^2+2z-15=-3z

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

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z^{2} + 2 z - 15 = - 3 z

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

Decimal Notation

z = 2.10977 \dots, z = - 7.10977 \dots

Solution steps

z^{2} + 2 z - 15 = - 3 z

Move

3 z

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

(2 x - 1)^{2} - (x - 3) (x + 5) = (2 x + 3) (2 x - 3)

3 x^{2} + 7 x + 5 = 3 x + 4

x, 3 y x^{2} - x^{2} + 3 = 0

x^{2} + 8 x + 8 + 8 = 0

x, x^{2} + y^{2} = 10 x - 6 y - 34

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