What are the solutions to the equation 70x-x^2=100 ?

The solutions to the equation 70x-x^2=100 are x=5(7-3sqrt(5)),x=5(7+3sqrt(5))

Find the zeros of 70x-x^2=100

The zeros of 70x-x^2=100 are x=5(7-3sqrt(5)),x=5(7+3sqrt(5))

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70 x - x^{2} = 100

x = 5 (7 - 35), x = 5 (7 + 35)

Decimal Notation

x = 1.45898 \dots, x = 68.54101 \dots

Solution steps

70 x - x^{2} = 100

Move

100

to the left side

70 x - x^{2} - 100 = 0

Write in the standard form

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

- x^{2} + 70 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 70 \pm 7 0 ^{2} - 4 ( - 1 ) ( - 100 )}{2 ( - 1 )}

7 0^{2} - 4 (- 1) (- 100) = 305

x_{1, 2} = \frac{- 70 \pm 30 5}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 70 + 30 5}{2 ( - 1 )}, x_{2} = \frac{- 70 - 30 5}{2 ( - 1 )}

x = \frac{- 70 + 30 5}{2 ( - 1 )} : 5 (7 - 35)

x = \frac{- 70 - 30 5}{2 ( - 1 )} : 5 (7 + 35)

The solutions to the quadratic equation are:

x = 5 (7 - 35), x = 5 (7 + 35)

3 x^{2} - 18 x + 10 = 0

\frac{1}{2} t^{2} + 9 = 6 t

2 b^{2} - 16 = 56

x (x + 2) = 4 x

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

What are the solutions to the equation 70x-x^2=100 ?
The solutions to the equation 70x-x^2=100 are x=5(7-3sqrt(5)),x=5(7+3sqrt(5))
Find the zeros of 70x-x^2=100
The zeros of 70x-x^2=100 are x=5(7-3sqrt(5)),x=5(7+3sqrt(5))