What are the solutions to the equation 100*(1-((1-x)*(1-x)))=2 ?

The solutions to the equation 100*(1-((1-x)*(1-x)))=2 are x=(10-7sqrt(2))/(10),x=(10+7sqrt(2))/(10)

Find the zeros of 100*(1-((1-x)*(1-x)))=2

The zeros of 100*(1-((1-x)*(1-x)))=2 are x=(10-7sqrt(2))/(10),x=(10+7sqrt(2))/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

100 \cdot (1 - ((1 - x) \cdot (1 - x))) = 2

x = \frac{10 - 7 2}{10}, x = \frac{10 + 7 2}{10}

Decimal Notation

x = 0.01005 \dots, x = 1.98994 \dots

Solution steps

100 (1 - ((1 - x) (1 - x))) = 2

Expand

100 (1 - ((1 - x) (1 - x))) : - 100 x^{2} + 200 x

- 100 x^{2} + 200 x = 2

Move

2

to the left side

- 100 x^{2} + 200 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 200 \pm 20 0 ^{2} - 4 ( - 100 ) ( - 2 )}{2 ( - 100 )}

20 0^{2} - 4 (- 100) (- 2) = 1402

x_{1, 2} = \frac{- 200 \pm 140 2}{2 ( - 100 )}

Separate the solutions

x_{1} = \frac{- 200 + 140 2}{2 ( - 100 )}, x_{2} = \frac{- 200 - 140 2}{2 ( - 100 )}

x = \frac{- 200 + 140 2}{2 ( - 100 )} : \frac{10 - 7 2}{10}

x = \frac{- 200 - 140 2}{2 ( - 100 )} : \frac{10 + 7 2}{10}

The solutions to the quadratic equation are:

x = \frac{10 - 7 2}{10}, x = \frac{10 + 7 2}{10}

4 x^{2} - 10 = 186

x^{2} - x - e = 0

m^{2} + 6 m + 6 = 0

1 + x + \frac{1}{3} x^{2} = 0

3 xx + x - 26 = 0

What are the solutions to the equation 100*(1-((1-x)*(1-x)))=2 ?
The solutions to the equation 100*(1-((1-x)*(1-x)))=2 are x=(10-7sqrt(2))/(10),x=(10+7sqrt(2))/(10)
Find the zeros of 100*(1-((1-x)*(1-x)))=2
The zeros of 100*(1-((1-x)*(1-x)))=2 are x=(10-7sqrt(2))/(10),x=(10+7sqrt(2))/(10)