What are the solutions to the equation 18*x^2-1/2*x-5/2 =0 ?

The solutions to the equation 18*x^2-1/2*x-5/2 =0 are x=(1+sqrt(721))/(72),x=(1-sqrt(721))/(72)

Find the zeros of 18*x^2-1/2*x-5/2 =0

The zeros of 18*x^2-1/2*x-5/2 =0 are x=(1+sqrt(721))/(72),x=(1-sqrt(721))/(72)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

18 \cdot x^{2} - \frac{1}{2} \cdot x - \frac{5}{2} = 0

x = \frac{1 + 721}{72}, x = \frac{1 - 721}{72}

Decimal Notation

x = 0.38682 \dots, x = - 0.35904 \dots

Solution steps

18 x^{2} - \frac{1}{2} x - \frac{5}{2} = 0

Multiply both sides by

2

36 x^{2} - x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 36 ( - 5 )}{2 \cdot 36}

(- 1)^{2} - 4 \cdot 36 (- 5) = 721

x_{1, 2} = \frac{- ( - 1 ) \pm 721}{2 \cdot 36}

Separate the solutions

x_{1} = \frac{- ( - 1 ) + 721}{2 \cdot 36}, x_{2} = \frac{- ( - 1 ) - 721}{2 \cdot 36}

x = \frac{- ( - 1 ) + 721}{2 \cdot 36} : \frac{1 + 721}{72}

x = \frac{- ( - 1 ) - 721}{2 \cdot 36} : \frac{1 - 721}{72}

The solutions to the quadratic equation are:

x = \frac{1 + 721}{72}, x = \frac{1 - 721}{72}

\frac{x - 1}{x ^{3} + 1} \geq 0

\frac{3 x - 1}{4} = \frac{2 x + 3}{3}

54

\frac{\frac{1}{5} - \frac{1}{3}}{\frac{1}{4} - \frac{1}{2}}

8 - x^{2} = x^{2}

What are the solutions to the equation 18*x^2-1/2*x-5/2 =0 ?
The solutions to the equation 18*x^2-1/2*x-5/2 =0 are x=(1+sqrt(721))/(72),x=(1-sqrt(721))/(72)
Find the zeros of 18*x^2-1/2*x-5/2 =0
The zeros of 18*x^2-1/2*x-5/2 =0 are x=(1+sqrt(721))/(72),x=(1-sqrt(721))/(72)