What are the solutions to the equation 0=2.4+8.6x-4.9*x^2 ?

The solutions to the equation 0=2.4+8.6x-4.9*x^2 are x=-12/49 ,x=2

Find the zeros of 0=2.4+8.6x-4.9*x^2

The zeros of 0=2.4+8.6x-4.9*x^2 are x=-12/49 ,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0 = 2.4 + 8.6 x - 4.9 \cdot x^{2}

x = - \frac{12}{49}, x = 2

Decimal Notation

x = - 0.24489 \dots, x = 2

Solution steps

0 = 2.4 + 8.6 x - 4.9 x^{2}

Multiply both sides by

10

0 = 24 + 86 x - 49 x^{2}

Switch sides

24 + 86 x - 49 x^{2} = 0

Write in the standard form

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

- 49 x^{2} + 86 x + 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 86 \pm 8 6 ^{2} - 4 ( - 49 ) \cdot 24}{2 ( - 49 )}

8 6^{2} - 4 (- 49) \cdot 24 = 110

x_{1, 2} = \frac{- 86 \pm 110}{2 ( - 49 )}

Separate the solutions

x_{1} = \frac{- 86 + 110}{2 ( - 49 )}, x_{2} = \frac{- 86 - 110}{2 ( - 49 )}

x = \frac{- 86 + 110}{2 ( - 49 )} : - \frac{12}{49}

x = \frac{- 86 - 110}{2 ( - 49 )} : 2

The solutions to the quadratic equation are:

x = - \frac{12}{49}, x = 2

(x + 49)^{2} = 24

0 = - 10 + n^{2}

x^{2} = 9 \cdot 4

c^{2} = 1 5^{2} + 8^{2}

19 x - 6 x^{2} - 10 = 0

What are the solutions to the equation 0=2.4+8.6x-4.9*x^2 ?
The solutions to the equation 0=2.4+8.6x-4.9*x^2 are x=-12/49 ,x=2
Find the zeros of 0=2.4+8.6x-4.9*x^2
The zeros of 0=2.4+8.6x-4.9*x^2 are x=-12/49 ,x=2