What are the solutions to the equation 4x^2+3x+6=0 ?

The solutions to the equation 4x^2+3x+6=0 are x=-3/8+i(sqrt(87))/8 ,x=-3/8-i(sqrt(87))/8

Find the zeros of 4x^2+3x+6=0

The zeros of 4x^2+3x+6=0 are x=-3/8+i(sqrt(87))/8 ,x=-3/8-i(sqrt(87))/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{2} + 3 x + 6 = 0

x = - \frac{3}{8} + i \frac{87}{8}, x = - \frac{3}{8} - i \frac{87}{8}

Solution steps

4 x^{2} + 3 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 4 \cdot 6}{2 \cdot 4}

Simplify

3^{2} - 4 \cdot 4 \cdot 6 : 87 i

x_{1, 2} = \frac{- 3 \pm 87 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 3 + 87 i}{2 \cdot 4}, x_{2} = \frac{- 3 - 87 i}{2 \cdot 4}

x = \frac{- 3 + 87 i}{2 \cdot 4} : - \frac{3}{8} + i \frac{87}{8}

x = \frac{- 3 - 87 i}{2 \cdot 4} : - \frac{3}{8} - i \frac{87}{8}

The solutions to the quadratic equation are:

x = - \frac{3}{8} + i \frac{87}{8}, x = - \frac{3}{8} - i \frac{87}{8}

400 d^{2} - 11130 d + 21609

- 2 x - 4

3 x - 5 = 25

4 x^{2} + 5 > x^{2} + 16 x

x^{2} + x - 1 > 0

What are the solutions to the equation 4x^2+3x+6=0 ?
The solutions to the equation 4x^2+3x+6=0 are x=-3/8+i(sqrt(87))/8 ,x=-3/8-i(sqrt(87))/8
Find the zeros of 4x^2+3x+6=0
The zeros of 4x^2+3x+6=0 are x=-3/8+i(sqrt(87))/8 ,x=-3/8-i(sqrt(87))/8