What is the answer to sqrt(4px)=(x^2)/(4p) ?

The answer to sqrt(4px)=(x^2)/(4p) is x=0 {p 0},x=4p {p>0}

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sqrt(4px)=(x^2)/(4p)

4 p x = \frac{x ^{2}}{4 p}

x = 0 {p < 0 or p > 0}, x = 4 p {p > 0}

Solution steps

4 p x = \frac{x ^{2}}{4 p}

Multiply both sides by

4 p

4 p x \cdot 4 p = \frac{x ^{2}}{4 p} \cdot 4 p

Simplify

4 p x \cdot 4 p = x^{2}

Square both sides:

64 p^{3} x = x^{4}

64 p^{3} x = x^{4}

Solve

64 p^{3} x = x^{4} : x = 0, x = 4 p, x = - 2 p + 23 i p, x = - 2 p - 23 i p

x = 0, x = 4 p, x = - 2 p + 23 i p, x = - 2 p - 23 i p

Remove complex solutions:

x = - 2 p + 23 i p, x = - 2 p - 23 i p

Verify Solutions:

x = 0 {p < 0 or p > 0}, x = 4 p {p > 0}

The solutions are

x = 0 {p < 0 or p > 0}, x = 4 p {p > 0}

10 = (0 - k)^{2} + (2 k - 0)^{2}

x + 3 + x - 2 = 5

a = x^{2} - 1

What is the answer to sqrt(4px)=(x^2)/(4p) ?
The answer to sqrt(4px)=(x^2)/(4p) is x=0 {p<0\lor p>0},x=4p {p>0}