What are the solutions to the equation x*(1+2x)+1-x=1.88972 ?

The solutions to the equation x*(1+2x)+1-x=1.88972 are x=(sqrt(7.11776))/4 ,x=-(sqrt(7.11776))/4

Find the zeros of x*(1+2x)+1-x=1.88972

The zeros of x*(1+2x)+1-x=1.88972 are x=(sqrt(7.11776))/4 ,x=-(sqrt(7.11776))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x \cdot (1 + 2 x) + 1 - x = 1.88972

x = \frac{7.11776}{4}, x = - \frac{7.11776}{4}

Decimal Notation

x = 0.66697 \dots, x = - 0.66697 \dots

Solution steps

x (1 + 2 x) + 1 - x = 1.88972

Expand

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

2 x^{2} + 1 = 1.88972

Move

1.88972

to the left side

2 x^{2} - 0.88972 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 2 ( - 0.88972 )}{2 \cdot 2}

0^{2} - 4 \cdot 2 (- 0.88972) = 7.11776

x_{1, 2} = \frac{- 0 \pm 7.11776}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 0 + 7.11776}{2 \cdot 2}, x_{2} = \frac{- 0 - 7.11776}{2 \cdot 2}

x = \frac{- 0 + 7.11776}{2 \cdot 2} : \frac{7.11776}{4}

x = \frac{- 0 - 7.11776}{2 \cdot 2} : - \frac{7.11776}{4}

The solutions to the quadratic equation are:

x = \frac{7.11776}{4}, x = - \frac{7.11776}{4}

k^{2} - 4 k + 3 = 0

9 n^{2} + 79 = - 18 n

15 x^{2} - 7 x - 4 = 0

3 x - 2 x^{2} = 1

r^{2} = (60)^{2} + (- 11)^{2}

What are the solutions to the equation x*(1+2x)+1-x=1.88972 ?
The solutions to the equation x*(1+2x)+1-x=1.88972 are x=(sqrt(7.11776))/4 ,x=-(sqrt(7.11776))/4
Find the zeros of x*(1+2x)+1-x=1.88972
The zeros of x*(1+2x)+1-x=1.88972 are x=(sqrt(7.11776))/4 ,x=-(sqrt(7.11776))/4