What are the solutions to the equation 18x^2=3x+10 ?

The solutions to the equation 18x^2=3x+10 are x= 5/6 ,x=-2/3

Find the zeros of 18x^2=3x+10

The zeros of 18x^2=3x+10 are x= 5/6 ,x=-2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

18 x^{2} = 3 x + 10

x = \frac{5}{6}, x = - \frac{2}{3}

Decimal Notation

x = 0.83333 \dots, x = - 0.66666 \dots

Solution steps

18 x^{2} = 3 x + 10

Move

10

to the left side

18 x^{2} - 10 = 3 x

Move

3 x

to the left side

18 x^{2} - 10 - 3 x = 0

Write in the standard form

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

18 x^{2} - 3 x - 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 18 ( - 10 )}{2 \cdot 18}

(- 3)^{2} - 4 \cdot 18 (- 10) = 27

x_{1, 2} = \frac{- ( - 3 ) \pm 27}{2 \cdot 18}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 27}{2 \cdot 18}, x_{2} = \frac{- ( - 3 ) - 27}{2 \cdot 18}

x = \frac{- ( - 3 ) + 27}{2 \cdot 18} : \frac{5}{6}

x = \frac{- ( - 3 ) - 27}{2 \cdot 18} : - \frac{2}{3}

The solutions to the quadratic equation are:

x = \frac{5}{6}, x = - \frac{2}{3}

5 x^{2} + 7 x + 10 = 0

300 t (1 - t) = 0

3 x^{2} - 2 x = - 6

h^{2} = 7^{2} + 4^{2}

4 q^{2} + 3 q = 3 q^{2} - 2 q + 14

What are the solutions to the equation 18x^2=3x+10 ?
The solutions to the equation 18x^2=3x+10 are x= 5/6 ,x=-2/3
Find the zeros of 18x^2=3x+10
The zeros of 18x^2=3x+10 are x= 5/6 ,x=-2/3