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

The solutions to the equation 2x^2=(a^3)/2 are x=(asqrt(a))/2 ,x=-(asqrt(a))/2

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

The zeros of 2x^2=(a^3)/2 are x=(asqrt(a))/2 ,x=-(asqrt(a))/2

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

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

Solution steps

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

Divide both sides by

2

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

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = \frac{a ^{3}}{4}, x = - \frac{a ^{3}}{4}

Simplify

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

Simplify

- \frac{a ^{3}}{4} : - \frac{a a}{2}

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

t (6 - t) = 0

175 - 50 x + x^{2} = 0

(3 x - 2)^{2} + 16 = 0

4 (x - 100)^{2} = 16

n (n + 1) + 3 = 45

What are the solutions to the equation 2x^2=(a^3)/2 ?
The solutions to the equation 2x^2=(a^3)/2 are x=(asqrt(a))/2 ,x=-(asqrt(a))/2
Find the zeros of 2x^2=(a^3)/2
The zeros of 2x^2=(a^3)/2 are x=(asqrt(a))/2 ,x=-(asqrt(a))/2