What are the solutions to the equation x x/5+4x= 1/2 ?

The solutions to the equation x x/5+4x= 1/2 are x=(sqrt(410)-20)/2 ,x=-(20+sqrt(410))/2

Find the zeros of x x/5+4x= 1/2

The zeros of x x/5+4x= 1/2 are x=(sqrt(410)-20)/2 ,x=-(20+sqrt(410))/2

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x \frac{x}{5} + 4 x = \frac{1}{2}

x = \frac{410 - 20}{2}, x = - \frac{20 + 410}{2}

Decimal Notation

x = 0.12422 \dots, x = - 20.12422 \dots

Solution steps

x \frac{x}{5} + 4 x = \frac{1}{2}

Multiply both sides by

2

\frac{2 x ^{2}}{5} + 8 x = 1

Move

1

to the left side

\frac{2 x ^{2}}{5} + 8 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot \frac{2}{5} ( - 1 )}{2 \cdot \frac{2}{5}}

8^{2} - 4 \cdot \frac{2}{5} (- 1) = \frac{2 82}{5}

x_{1, 2} = \frac{- 8 \pm \frac{2 82}{5}}{2 \cdot \frac{2}{5}}

Separate the solutions

x_{1} = \frac{- 8 + \frac{2 82}{5}}{2 \cdot \frac{2}{5}}, x_{2} = \frac{- 8 - \frac{2 82}{5}}{2 \cdot \frac{2}{5}}

x = \frac{- 8 + \frac{2 82}{5}}{2 \frac{2}{5}} : \frac{410 - 20}{2}

x = \frac{- 8 - \frac{2 82}{5}}{2 \frac{2}{5}} : - \frac{20 + 410}{2}

The solutions to the quadratic equation are:

x = \frac{410 - 20}{2}, x = - \frac{20 + 410}{2}

y, x^{3} + y^{2} + 2 x = 6

0 = - 4.9 t^{2} + 223 t + 262

\frac{2 π}{3} (9 r - 32) r = 0

4 (3 x^{2} - 4) = 0

(0.63024) = \frac{1}{2} (10.9) (x)^{2}

What are the solutions to the equation x x/5+4x= 1/2 ?
The solutions to the equation x x/5+4x= 1/2 are x=(sqrt(410)-20)/2 ,x=-(20+sqrt(410))/2
Find the zeros of x x/5+4x= 1/2
The zeros of x x/5+4x= 1/2 are x=(sqrt(410)-20)/2 ,x=-(20+sqrt(410))/2