What are the solutions to the equation x^2-3ax+a^2=0 ?

The solutions to the equation x^2-3ax+a^2=0 are x=(3a+sqrt(5)a)/2 ,x=(3a-sqrt(5)a)/2

Find the zeros of x^2-3ax+a^2=0

The zeros of x^2-3ax+a^2=0 are x=(3a+sqrt(5)a)/2 ,x=(3a-sqrt(5)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 + a^{2} = 0

x = \frac{3 a + 5 a}{2}, x = \frac{3 a - 5 a}{2}

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 3 a)^{2} - 4 \cdot 1 \cdot a^{2} : 5 a

x_{1, 2} = \frac{- ( - 3 a ) \pm 5 a}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 a ) + 5 a}{2 \cdot 1}, x_{2} = \frac{- ( - 3 a ) - 5 a}{2 \cdot 1}

x = \frac{- ( - 3 a ) + 5 a}{2 \cdot 1} : \frac{3 a + 5 a}{2}

x = \frac{- ( - 3 a ) - 5 a}{2 \cdot 1} : \frac{3 a - 5 a}{2}

The solutions to the quadratic equation are:

x = \frac{3 a + 5 a}{2}, x = \frac{3 a - 5 a}{2}

15 + (x - 4)^{2} = 7

3 (x^{2} - 3) = 35 x + 19

6 v^{2} + 3 = - 2 v

20 x^{2} + 6 x - 8 = 0

2 a^{2} - 288 = 0

What are the solutions to the equation x^2-3ax+a^2=0 ?
The solutions to the equation x^2-3ax+a^2=0 are x=(3a+sqrt(5)a)/2 ,x=(3a-sqrt(5)a)/2
Find the zeros of x^2-3ax+a^2=0
The zeros of x^2-3ax+a^2=0 are x=(3a+sqrt(5)a)/2 ,x=(3a-sqrt(5)a)/2