What are the solutions to the equation 4x^2+14x+84=0 ?

The solutions to the equation 4x^2+14x+84=0 are x=-7/4+i(sqrt(287))/4 ,x=-7/4-i(sqrt(287))/4

Find the zeros of 4x^2+14x+84=0

The zeros of 4x^2+14x+84=0 are x=-7/4+i(sqrt(287))/4 ,x=-7/4-i(sqrt(287))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{2} + 14 x + 84 = 0

x = - \frac{7}{4} + i \frac{287}{4}, x = - \frac{7}{4} - i \frac{287}{4}

Solution steps

4 x^{2} + 14 x + 84 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 4 \cdot 84}{2 \cdot 4}

Simplify

1 4^{2} - 4 \cdot 4 \cdot 84 : 2287 i

x_{1, 2} = \frac{- 14 \pm 2 287 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 14 + 2 287 i}{2 \cdot 4}, x_{2} = \frac{- 14 - 2 287 i}{2 \cdot 4}

x = \frac{- 14 + 2 287 i}{2 \cdot 4} : - \frac{7}{4} + i \frac{287}{4}

x = \frac{- 14 - 2 287 i}{2 \cdot 4} : - \frac{7}{4} - i \frac{287}{4}

The solutions to the quadratic equation are:

x = - \frac{7}{4} + i \frac{287}{4}, x = - \frac{7}{4} - i \frac{287}{4}

- 5.8 c + 4.2 - 3.1 + 1.4 c

- 60 = - 24 + 12 r

\frac{- 11 s - 4}{8} = 5

3 (f - 1) + 2 \geq 8

lo g_{5} (20) = 2 x

What are the solutions to the equation 4x^2+14x+84=0 ?
The solutions to the equation 4x^2+14x+84=0 are x=-7/4+i(sqrt(287))/4 ,x=-7/4-i(sqrt(287))/4
Find the zeros of 4x^2+14x+84=0
The zeros of 4x^2+14x+84=0 are x=-7/4+i(sqrt(287))/4 ,x=-7/4-i(sqrt(287))/4