What are the solutions to the equation 30x-x^2=210 ?

The solutions to the equation 30x-x^2=210 are x=15-sqrt(15),x=15+sqrt(15)

Find the zeros of 30x-x^2=210

The zeros of 30x-x^2=210 are x=15-sqrt(15),x=15+sqrt(15)

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30 x - x^{2} = 210

x = 15 - 15, x = 15 + 15

Decimal Notation

x = 11.12701 \dots, x = 18.87298 \dots

Solution steps

30 x - x^{2} = 210

Move

210

to the left side

30 x - x^{2} - 210 = 0

Write in the standard form

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

- x^{2} + 30 x - 210 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 ( - 1 ) ( - 210 )}{2 ( - 1 )}

3 0^{2} - 4 (- 1) (- 210) = 215

x_{1, 2} = \frac{- 30 \pm 2 15}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 30 + 2 15}{2 ( - 1 )}, x_{2} = \frac{- 30 - 2 15}{2 ( - 1 )}

x = \frac{- 30 + 2 15}{2 ( - 1 )} : 15 - 15

x = \frac{- 30 - 2 15}{2 ( - 1 )} : 15 + 15

The solutions to the quadratic equation are:

x = 15 - 15, x = 15 + 15

- 2 x - 14 = - 2

x y - 28 + 4 y - 7 x

2 m^{2} \cdot 4 m^{\frac{3}{2}} \cdot 4 m^{- 2}

3 + 6

4 n + 5 n + 15 = 5 n + 7 n

What are the solutions to the equation 30x-x^2=210 ?
The solutions to the equation 30x-x^2=210 are x=15-sqrt(15),x=15+sqrt(15)
Find the zeros of 30x-x^2=210
The zeros of 30x-x^2=210 are x=15-sqrt(15),x=15+sqrt(15)