What are the solutions to the equation 183000x^2-1400000x-22912000=0 ?

The solutions to the equation 183000x^2-1400000x-22912000=0 are x= 2864/183 ,x=-8

Find the zeros of 183000x^2-1400000x-22912000=0

The zeros of 183000x^2-1400000x-22912000=0 are x= 2864/183 ,x=-8

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183000 x^{2} - 1400000 x - 22912000 = 0

x = \frac{2864}{183}, x = - 8

Decimal Notation

x = 15.65027 \dots, x = - 8

Solution steps

183000 x^{2} - 1400000 x - 22912000 = 0

Divide both sides by

183000

\frac{183000 x ^{2}}{183000} - \frac{1400000 x}{183000} - \frac{22912000}{183000} = \frac{0}{183000}

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - \frac{1400 x}{183} - \frac{22912}{183} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - \frac{1400}{183} ) \pm ( - \frac{1400}{183} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{22912}{183} )}{2 \cdot 1}

(- \frac{1400}{183})^{2} - 4 \cdot 1 \cdot (- \frac{22912}{183}) = \frac{4328}{183}

x_{1, 2} = \frac{- ( - \frac{1400}{183} ) \pm \frac{4328}{183}}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - \frac{1400}{183} ) + \frac{4328}{183}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{1400}{183} ) - \frac{4328}{183}}{2 \cdot 1}

x = \frac{- ( - \frac{1400}{183} ) + \frac{4328}{183}}{2 \cdot 1} : \frac{2864}{183}

x = \frac{- ( - \frac{1400}{183} ) - \frac{4328}{183}}{2 \cdot 1} : - 8

The solutions to the quadratic equation are:

x = \frac{2864}{183}, x = - 8

24 x^{2} - 3 x - 11 = 0

12 x^{2} - 168 x + 432 = 0

x, z = y x^{2} z^{2} - x y^{4} + x y

y^{2} = (4430523)^{2} + (3166128)^{2}

15 x^{2} - 23 x - 10 = 0

What are the solutions to the equation 183000x^2-1400000x-22912000=0 ?
The solutions to the equation 183000x^2-1400000x-22912000=0 are x= 2864/183 ,x=-8
Find the zeros of 183000x^2-1400000x-22912000=0
The zeros of 183000x^2-1400000x-22912000=0 are x= 2864/183 ,x=-8