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

The solutions to the equation x^2-3ax+2a^2=0 are x=2a,x=a

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

The zeros of x^2-3ax+2a^2=0 are x=2a,x=a

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

x = 2 a, x = a

Solution steps

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

Solve with the quadratic formula

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

Simplify

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 2 a, x = a

4 w^{2} + 19 w + 18 = 0

12 x - x^{2} - 35 = 0

x^{2} + 19 x = - 84

x^{2} + 15 = - 8 x

x, 6 x^{2} + 6 x - 12 = 0

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