What are the solutions to the equation -2.5x^2+400x+3600=0 ?

The solutions to the equation -2.5x^2+400x+3600=0 are x=-4(7sqrt(10)-20),x=4(20+7sqrt(10))

Find the zeros of -2.5x^2+400x+3600=0

The zeros of -2.5x^2+400x+3600=0 are x=-4(7sqrt(10)-20),x=4(20+7sqrt(10))

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- 2.5 x^{2} + 400 x + 3600 = 0

x = - 4 (710 - 20), x = 4 (20 + 710)

Decimal Notation

x = - 8.54377 \dots, x = 168.54377 \dots

Solution steps

- 2.5 x^{2} + 400 x + 3600 = 0

Multiply both sides by

10

- 25 x^{2} + 4000 x + 36000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4000 \pm 400 0 ^{2} - 4 ( - 25 ) \cdot 36000}{2 ( - 25 )}

400 0^{2} - 4 (- 25) \cdot 36000 = 140010

x_{1, 2} = \frac{- 4000 \pm 1400 10}{2 ( - 25 )}

Separate the solutions

x_{1} = \frac{- 4000 + 1400 10}{2 ( - 25 )}, x_{2} = \frac{- 4000 - 1400 10}{2 ( - 25 )}

x = \frac{- 4000 + 1400 10}{2 ( - 25 )} : - 4 (710 - 20)

x = \frac{- 4000 - 1400 10}{2 ( - 25 )} : 4 (20 + 710)

The solutions to the quadratic equation are:

x = - 4 (710 - 20), x = 4 (20 + 710)

20 x^{2} - 17 x - 63

3 i + 2 i

x^{2} > x + 2

\frac{( n + 1 ) !}{n !}

- \frac{1}{2} - \frac{3}{4}

What are the solutions to the equation -2.5x^2+400x+3600=0 ?
The solutions to the equation -2.5x^2+400x+3600=0 are x=-4(7sqrt(10)-20),x=4(20+7sqrt(10))
Find the zeros of -2.5x^2+400x+3600=0
The zeros of -2.5x^2+400x+3600=0 are x=-4(7sqrt(10)-20),x=4(20+7sqrt(10))