What are the solutions to the equation a=(a^2sqrt(3))/4 ?

The solutions to the equation a=(a^2sqrt(3))/4 are a= 4/(sqrt(3)),a=0

Find the zeros of a=(a^2sqrt(3))/4

The zeros of a=(a^2sqrt(3))/4 are a= 4/(sqrt(3)),a=0

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a = \frac{a ^{2} 3}{4}

a = \frac{4}{3}, a = 0

Decimal Notation

a = 2.30940 \dots, a = 0

Solution steps

a = \frac{a ^{2} 3}{4}

Multiply both sides by

4

4 a = 3 a^{2}

Switch sides

3 a^{2} = 4 a

Move

4 a

to the left side

3 a^{2} - 4 a = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 3 \cdot 0}{2 3}

(- 4)^{2} - 43 \cdot 0 = 4

a_{1, 2} = \frac{- ( - 4 ) \pm 4}{2 3}

Separate the solutions

a_{1} = \frac{- ( - 4 ) + 4}{2 3}, a_{2} = \frac{- ( - 4 ) - 4}{2 3}

a = \frac{- ( - 4 ) + 4}{2 3} : \frac{4}{3}

a = \frac{- ( - 4 ) - 4}{2 3} : 0

The solutions to the quadratic equation are:

a = \frac{4}{3}, a = 0

x, (\frac{x}{2})^{2} π = 1000

3 x^{2} - 4 x - 2 = - 3

(x + 2)^{2} = 15

4 x^{2} + 20 x + 8 = 0

0 = - 27 x^{2} + 1890 x + 9831

What are the solutions to the equation a=(a^2sqrt(3))/4 ?
The solutions to the equation a=(a^2sqrt(3))/4 are a= 4/(sqrt(3)),a=0
Find the zeros of a=(a^2sqrt(3))/4
The zeros of a=(a^2sqrt(3))/4 are a= 4/(sqrt(3)),a=0