What are the solutions to the equation 0=-16x^2+144x+5000 ?

The solutions to the equation 0=-16x^2+144x+5000 are x=-(-9+11sqrt(11))/2 ,x=(9+11sqrt(11))/2

Find the zeros of 0=-16x^2+144x+5000

The zeros of 0=-16x^2+144x+5000 are x=-(-9+11sqrt(11))/2 ,x=(9+11sqrt(11))/2

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0 = - 16 x^{2} + 144 x + 5000

x = - \frac{- 9 + 11 11}{2}, x = \frac{9 + 11 11}{2}

Decimal Notation

x = - 13.74143 \dots, x = 22.74143 \dots

Solution steps

0 = - 16 x^{2} + 144 x + 5000

Switch sides

- 16 x^{2} + 144 x + 5000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 144 \pm 14 4 ^{2} - 4 ( - 16 ) \cdot 5000}{2 ( - 16 )}

14 4^{2} - 4 (- 16) \cdot 5000 = 17611

x_{1, 2} = \frac{- 144 \pm 176 11}{2 ( - 16 )}

Separate the solutions

x_{1} = \frac{- 144 + 176 11}{2 ( - 16 )}, x_{2} = \frac{- 144 - 176 11}{2 ( - 16 )}

x = \frac{- 144 + 176 11}{2 ( - 16 )} : - \frac{- 9 + 11 11}{2}

x = \frac{- 144 - 176 11}{2 ( - 16 )} : \frac{9 + 11 11}{2}

The solutions to the quadratic equation are:

x = - \frac{- 9 + 11 11}{2}, x = \frac{9 + 11 11}{2}

3 x - 2 = - 20 x^{2}

3 x^{2} + 12 = 7 x + 32

(x + 2) (x - 15) = 0

32 x^{2} - 16 x - 12 = 0

- 16 x^{2} + 4 x + 13 = 0

What are the solutions to the equation 0=-16x^2+144x+5000 ?
The solutions to the equation 0=-16x^2+144x+5000 are x=-(-9+11sqrt(11))/2 ,x=(9+11sqrt(11))/2
Find the zeros of 0=-16x^2+144x+5000
The zeros of 0=-16x^2+144x+5000 are x=-(-9+11sqrt(11))/2 ,x=(9+11sqrt(11))/2