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I got a really hard math equation I don't understand Im in the 10th grade

I got a really hard math equation I don't understand Im in the 10th grade-example-1

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The given equation can be solved by first isolating x on one side of the equation. After simplifying, we can substitute values of x into the equation to see if they satisfy it.The equation
x(1/√([x])x^3)-x^(^x^-^2^)/x=0has no real solution.

The provided mathematical equation (shown below) features the variable x and a constant chi (χ)


[x(\frac{1}{\sqrt[x]{\chi^(3)}})-(x^(x-2))/(x)=0]

To solve for the solution, we can isolate x on one side of the equation:


[x(\sqrt[x]{\chi^(3)})=(x^(x-2))/(x)]

Simplifying the equation, we get:


[\sqrt[x]{\chi^(3)}=x^(-1)]

Since we have to find the value of x that satisfies the equation, we can now substitute x by a value and check whether the equation holds true.

Let's assume x = 2. Substituting this value in the above equation, we get:


[\sqrt[2]{\chi^(3)}=2^(-1)]\\[\sqrt[2]{\chi^(3)}=(1)/(2)]

Since
3\sqrt{2does not equal 1/2, we can conclude that x = 2 is not a solution to the given equation. We can continue this process by substituting different values of x until we find a value that satisfies the equation.

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