What are the solutions to the equation a^2-8ax+12x^2=0 ?

The solutions to the equation a^2-8ax+12x^2=0 are x= a/2 ,x= a/6

Find the zeros of a^2-8ax+12x^2=0

The zeros of a^2-8ax+12x^2=0 are x= a/2 ,x= a/6

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a^{2} - 8 a x + 12 x^{2} = 0

x = \frac{a}{2}, x = \frac{a}{6}

Solution steps

a^{2} - 8 a x + 12 x^{2} = 0

Write in the standard form

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

12 x^{2} - 8 a x + a^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 a ) \pm ( - 8 a ) ^{2} - 4 \cdot 12 a ^{2}}{2 \cdot 12}

Simplify

(- 8 a)^{2} - 4 \cdot 12 a^{2} : 4 a

x_{1, 2} = \frac{- ( - 8 a ) \pm 4 a}{2 \cdot 12}

Separate the solutions

x_{1} = \frac{- ( - 8 a ) + 4 a}{2 \cdot 12}, x_{2} = \frac{- ( - 8 a ) - 4 a}{2 \cdot 12}

x = \frac{- ( - 8 a ) + 4 a}{2 \cdot 12} : \frac{a}{2}

x = \frac{- ( - 8 a ) - 4 a}{2 \cdot 12} : \frac{a}{6}

The solutions to the quadratic equation are:

x = \frac{a}{2}, x = \frac{a}{6}

y^{2} - 2 y + 6 = 0

z^{2} - 7 z + 4 = 0

5 x^{2} + 23 x = 2 x - 4

x, x^{2} y^{2} = 2

r^{2} + 8 r + 784 = 0

What are the solutions to the equation a^2-8ax+12x^2=0 ?
The solutions to the equation a^2-8ax+12x^2=0 are x= a/2 ,x= a/6
Find the zeros of a^2-8ax+12x^2=0
The zeros of a^2-8ax+12x^2=0 are x= a/2 ,x= a/6