What are the solutions to the equation x^2+3x+18.25=0 ?

The solutions to the equation x^2+3x+18.25=0 are x=-3/2+4i,x=-3/2-4i

Find the zeros of x^2+3x+18.25=0

The zeros of x^2+3x+18.25=0 are x=-3/2+4i,x=-3/2-4i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} + 3 x + 18.25 = 0

x = - \frac{3}{2} + 4 i, x = - \frac{3}{2} - 4 i

Solution steps

x^{2} + 3 x + 18.25 = 0

Multiply both sides by

100

100 x^{2} + 300 x + 1825 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 300 \pm 30 0 ^{2} - 4 \cdot 100 \cdot 1825}{2 \cdot 100}

Simplify

30 0^{2} - 4 \cdot 100 \cdot 1825 : 800 i

x_{1, 2} = \frac{- 300 \pm 800 i}{2 \cdot 100}

Separate the solutions

x_{1} = \frac{- 300 + 800 i}{2 \cdot 100}, x_{2} = \frac{- 300 - 800 i}{2 \cdot 100}

x = \frac{- 300 + 800 i}{2 \cdot 100} : - \frac{3}{2} + 4 i

x = \frac{- 300 - 800 i}{2 \cdot 100} : - \frac{3}{2} - 4 i

The solutions to the quadratic equation are:

x = - \frac{3}{2} + 4 i, x = - \frac{3}{2} - 4 i

\frac{25}{3} m - \frac{8}{5} = \frac{9}{4}

(m + 7) (m - 8) = - 14

2 x^{2} - (2 x + 1) = - 7

x^{2} - 14 x + 49 < 0

5 x^{3} + x^{2} - 20 x - 4

What are the solutions to the equation x^2+3x+18.25=0 ?
The solutions to the equation x^2+3x+18.25=0 are x=-3/2+4i,x=-3/2-4i
Find the zeros of x^2+3x+18.25=0
The zeros of x^2+3x+18.25=0 are x=-3/2+4i,x=-3/2-4i