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Let x1 and x2 be the real roots of the e...

Let `x_1 and x_2` be the real roots of the equation ` x^(2) -kx +(k^(2) +7x+15)=0` if the maximum value of `(x_1^(2) + x_2^(2))` is `(18)/(x)`, then find the value of x .

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