What are the solutions to the equation 0.005-0.2x+4x^2=0.25x ?

The solutions to the equation 0.005-0.2x+4x^2=0.25x are x= 1/10 ,x= 1/80

Find the zeros of 0.005-0.2x+4x^2=0.25x

The zeros of 0.005-0.2x+4x^2=0.25x are x= 1/10 ,x= 1/80

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0.005 - 0.2 x + 4 x^{2} = 0.25 x

x = \frac{1}{10}, x = \frac{1}{80}

Decimal Notation

x = 0.1, x = 0.0125

Solution steps

0.005 - 0.2 x + 4 x^{2} = 0.25 x

Multiply both sides by

1000

5 - 200 x + 4000 x^{2} = 250 x

Move

250 x

to the left side

4000 x^{2} - 450 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 450 ) \pm ( - 450 ) ^{2} - 4 \cdot 4000 \cdot 5}{2 \cdot 4000}

(- 450)^{2} - 4 \cdot 4000 \cdot 5 = 350

x_{1, 2} = \frac{- ( - 450 ) \pm 350}{2 \cdot 4000}

Separate the solutions

x_{1} = \frac{- ( - 450 ) + 350}{2 \cdot 4000}, x_{2} = \frac{- ( - 450 ) - 350}{2 \cdot 4000}

x = \frac{- ( - 450 ) + 350}{2 \cdot 4000} : \frac{1}{10}

x = \frac{- ( - 450 ) - 350}{2 \cdot 4000} : \frac{1}{80}

The solutions to the quadratic equation are:

x = \frac{1}{10}, x = \frac{1}{80}

x^{2} (x - 1)^{2}

- 11 x - 4 > - 15

0 < ∣ x - 3 ∣ < \frac{1}{4}

2 (- 2 x + 1) - 5 x + 2 = - 23

\frac{x + 8}{3 x - 2} \geq 1

What are the solutions to the equation 0.005-0.2x+4x^2=0.25x ?
The solutions to the equation 0.005-0.2x+4x^2=0.25x are x= 1/10 ,x= 1/80
Find the zeros of 0.005-0.2x+4x^2=0.25x
The zeros of 0.005-0.2x+4x^2=0.25x are x= 1/10 ,x= 1/80