What are the solutions to the equation -4.9x^2+24.5x+2=0 ?

The solutions to the equation -4.9x^2+24.5x+2=0 are x=-(-35+3sqrt(145))/(14),x=(35+3sqrt(145))/(14)

Find the zeros of -4.9x^2+24.5x+2=0

The zeros of -4.9x^2+24.5x+2=0 are x=-(-35+3sqrt(145))/(14),x=(35+3sqrt(145))/(14)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- 4.9 x^{2} + 24.5 x + 2 = 0

x = - \frac{- 35 + 3 145}{14}, x = \frac{35 + 3 145}{14}

Decimal Notation

x = - 0.08034 \dots, x = 5.08034 \dots

Solution steps

- 4.9 x^{2} + 24.5 x + 2 = 0

Multiply both sides by

10

- 49 x^{2} + 245 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 245 \pm 24 5 ^{2} - 4 ( - 49 ) \cdot 20}{2 ( - 49 )}

24 5^{2} - 4 (- 49) \cdot 20 = 21145

x_{1, 2} = \frac{- 245 \pm 21 145}{2 ( - 49 )}

Separate the solutions

x_{1} = \frac{- 245 + 21 145}{2 ( - 49 )}, x_{2} = \frac{- 245 - 21 145}{2 ( - 49 )}

x = \frac{- 245 + 21 145}{2 ( - 49 )} : - \frac{- 35 + 3 145}{14}

x = \frac{- 245 - 21 145}{2 ( - 49 )} : \frac{35 + 3 145}{14}

The solutions to the quadratic equation are:

x = - \frac{- 35 + 3 145}{14}, x = \frac{35 + 3 145}{14}

- 4.9 t^{2} + 12 t + 600 = 0

(k - 4)^{2} = - 3

p^{2} + 6 p = 0

x^{2} + 30 x - 10 = 0

x^{2} + 19 = 2 x

What are the solutions to the equation -4.9x^2+24.5x+2=0 ?
The solutions to the equation -4.9x^2+24.5x+2=0 are x=-(-35+3sqrt(145))/(14),x=(35+3sqrt(145))/(14)
Find the zeros of -4.9x^2+24.5x+2=0
The zeros of -4.9x^2+24.5x+2=0 are x=-(-35+3sqrt(145))/(14),x=(35+3sqrt(145))/(14)