What are the solutions to the equation 3ex^2-4e=2x ?

The solutions to the equation 3ex^2-4e=2x are x=(2+sqrt(4+48e^2))/(6e),x=(2-sqrt(4+48e^2))/(6e)

Find the zeros of 3ex^2-4e=2x

The zeros of 3ex^2-4e=2x are x=(2+sqrt(4+48e^2))/(6e),x=(2-sqrt(4+48e^2))/(6e)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 e x^{2} - 4 e = 2 x

x = \frac{2 + 4 + 48 e ^{2}}{6 e}, x = \frac{2 - 4 + 48 e ^{2}}{6 e}

Decimal Notation

x = 1.28382 \dots, x = - 1.03856 \dots

Solution steps

3 e x^{2} - 4 e = 2 x

Move

2 x

to the left side

3 e x^{2} - 4 e - 2 x = 0

Write in the standard form

a x^{2} + b x + c = 0

3 e x^{2} - 2 x - 4 e = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 3 e ( - 4 e )}{2 \cdot 3 e}

(- 2)^{2} - 4 \cdot 3 e (- 4 e) = 4 + 48 e^{2}

x_{1, 2} = \frac{- ( - 2 ) \pm 4 + 48 e ^{2}}{2 \cdot 3 e}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 4 + 48 e ^{2}}{2 \cdot 3 e}, x_{2} = \frac{- ( - 2 ) - 4 + 48 e ^{2}}{2 \cdot 3 e}

x = \frac{- ( - 2 ) + 4 + 48 e ^{2}}{2 \cdot 3 e} : \frac{2 + 4 + 48 e ^{2}}{6 e}

x = \frac{- ( - 2 ) - 4 + 48 e ^{2}}{2 \cdot 3 e} : \frac{2 - 4 + 48 e ^{2}}{6 e}

The solutions to the quadratic equation are:

x = \frac{2 + 4 + 48 e ^{2}}{6 e}, x = \frac{2 - 4 + 48 e ^{2}}{6 e}

5 x^{2} + 2 x - 3 + 9 x = 0

D, g = b (a + D^{2})

4 (x + 3)^{2} + 2 = - 6

(x + 3) (x - 3) = x (4 x + 5)

y, y^{2} = 5 - X

What are the solutions to the equation 3ex^2-4e=2x ?
The solutions to the equation 3ex^2-4e=2x are x=(2+sqrt(4+48e^2))/(6e),x=(2-sqrt(4+48e^2))/(6e)
Find the zeros of 3ex^2-4e=2x
The zeros of 3ex^2-4e=2x are x=(2+sqrt(4+48e^2))/(6e),x=(2-sqrt(4+48e^2))/(6e)