What are the solutions to the equation 10x-5x^2= 10/3 ?

The solutions to the equation 10x-5x^2= 10/3 are x=(3-sqrt(3))/3 ,x=(3+sqrt(3))/3

Find the zeros of 10x-5x^2= 10/3

The zeros of 10x-5x^2= 10/3 are x=(3-sqrt(3))/3 ,x=(3+sqrt(3))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10 x - 5 x^{2} = \frac{10}{3}

x = \frac{3 - 3}{3}, x = \frac{3 + 3}{3}

Decimal Notation

x = 0.42264 \dots, x = 1.57735 \dots

Solution steps

10 x - 5 x^{2} = \frac{10}{3}

Multiply both sides by

3

30 x - 15 x^{2} = 10

Move

10

to the left side

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

Write in the standard form

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

- 15 x^{2} + 30 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 ( - 15 ) ( - 10 )}{2 ( - 15 )}

3 0^{2} - 4 (- 15) (- 10) = 103

x_{1, 2} = \frac{- 30 \pm 10 3}{2 ( - 15 )}

Separate the solutions

x_{1} = \frac{- 30 + 10 3}{2 ( - 15 )}, x_{2} = \frac{- 30 - 10 3}{2 ( - 15 )}

x = \frac{- 30 + 10 3}{2 ( - 15 )} : \frac{3 - 3}{3}

x = \frac{- 30 - 10 3}{2 ( - 15 )} : \frac{3 + 3}{3}

The solutions to the quadratic equation are:

x = \frac{3 - 3}{3}, x = \frac{3 + 3}{3}

- x^{2} + 14 x - 49

x^{2} = 9 x - 20

- 10 \cdot ∣ 3 x - 4 ∣ + 5 < - 2

(1 + \frac{0.04}{365})^{365} - 1

(b^{4})^{2}

What are the solutions to the equation 10x-5x^2= 10/3 ?
The solutions to the equation 10x-5x^2= 10/3 are x=(3-sqrt(3))/3 ,x=(3+sqrt(3))/3
Find the zeros of 10x-5x^2= 10/3
The zeros of 10x-5x^2= 10/3 are x=(3-sqrt(3))/3 ,x=(3+sqrt(3))/3