What are the solutions to the equation x^2+3ax=6a^2 ?

The solutions to the equation x^2+3ax=6a^2 are x=(-3a+sqrt(33)a)/2 ,x=(-3a-sqrt(33)a)/2

Find the zeros of x^2+3ax=6a^2

The zeros of x^2+3ax=6a^2 are x=(-3a+sqrt(33)a)/2 ,x=(-3a-sqrt(33)a)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} + 3 a x = 6 a^{2}

x = \frac{- 3 a + 33 a}{2}, x = \frac{- 3 a - 33 a}{2}

Solution steps

x^{2} + 3 a x = 6 a^{2}

Move

6 a^{2}

to the left side

x^{2} + 3 a x - 6 a^{2} = 0

Solve with the quadratic formula

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

Simplify

(3 a)^{2} - 4 \cdot 1 \cdot (- 6 a^{2}) : 33 a

x_{1, 2} = \frac{- 3 a \pm 33 a}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 a + 33 a}{2 \cdot 1}, x_{2} = \frac{- 3 a - 33 a}{2 \cdot 1}

x = \frac{- 3 a + 33 a}{2 \cdot 1} : \frac{- 3 a + 33 a}{2}

x = \frac{- 3 a - 33 a}{2 \cdot 1} : \frac{- 3 a - 33 a}{2}

The solutions to the quadratic equation are:

x = \frac{- 3 a + 33 a}{2}, x = \frac{- 3 a - 33 a}{2}

7 s^{2} + 9 s - 4 = 0

x^{2} + 25 = 10 x + 4

2 y^{2} = - y + 6

x, (x + 5) (x + 2) = (x + 2)

v, v + 3 \cdot 1 0^{- 3} (v - 1)^{2} 10 \cdot 1 0^{3} = 5

What are the solutions to the equation x^2+3ax=6a^2 ?
The solutions to the equation x^2+3ax=6a^2 are x=(-3a+sqrt(33)a)/2 ,x=(-3a-sqrt(33)a)/2
Find the zeros of x^2+3ax=6a^2
The zeros of x^2+3ax=6a^2 are x=(-3a+sqrt(33)a)/2 ,x=(-3a-sqrt(33)a)/2