What are the solutions to the equation (x^2)/4-x+4/10 =8 ?

The solutions to the equation (x^2)/4-x+4/10 =8 are x=(2(5+sqrt(215)))/5 ,x=(2(5-sqrt(215)))/5

Find the zeros of (x^2)/4-x+4/10 =8

The zeros of (x^2)/4-x+4/10 =8 are x=(2(5+sqrt(215)))/5 ,x=(2(5-sqrt(215)))/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{x ^{2}}{4} - x + \frac{4}{10} = 8

x = \frac{2 ( 5 + 215 )}{5}, x = \frac{2 ( 5 - 215 )}{5}

Decimal Notation

x = 7.86515 \dots, x = - 3.86515 \dots

Solution steps

\frac{x ^{2}}{4} - x + \frac{4}{10} = 8

Find Least Common Multiplier of

4, 10 : 20

Multiply by LCM=

20

\frac{x ^{2}}{4} \cdot 20 - x \cdot 20 + \frac{4}{10} \cdot 20 = 8 \cdot 20

Simplify

5 x^{2} - 20 x + 8 = 160

Move

160

to the left side

5 x^{2} - 20 x - 152 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 5 ( - 152 )}{2 \cdot 5}

(- 20)^{2} - 4 \cdot 5 (- 152) = 4215

x_{1, 2} = \frac{- ( - 20 ) \pm 4 215}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 4 215}{2 \cdot 5}, x_{2} = \frac{- ( - 20 ) - 4 215}{2 \cdot 5}

x = \frac{- ( - 20 ) + 4 215}{2 \cdot 5} : \frac{2 ( 5 + 215 )}{5}

x = \frac{- ( - 20 ) - 4 215}{2 \cdot 5} : \frac{2 ( 5 - 215 )}{5}

The solutions to the quadratic equation are:

x = \frac{2 ( 5 + 215 )}{5}, x = \frac{2 ( 5 - 215 )}{5}

x^{2} - 33 x + 6 = 0

x, x^{2} - 3 x k - 1 = 0

x, 2 x^{2} + 3 x y - 2 y^{2} = 7

x, \frac{( f \cdot f ( x ^{2} ) )}{( 1 + [ f ] ^{2} )} = \frac{1}{2}

2 m^{2} - 7 m - 15 = 0, (m - 5) (2 m + 3) = 0

What are the solutions to the equation (x^2)/4-x+4/10 =8 ?
The solutions to the equation (x^2)/4-x+4/10 =8 are x=(2(5+sqrt(215)))/5 ,x=(2(5-sqrt(215)))/5
Find the zeros of (x^2)/4-x+4/10 =8
The zeros of (x^2)/4-x+4/10 =8 are x=(2(5+sqrt(215)))/5 ,x=(2(5-sqrt(215)))/5