There are two distinct solutions x to the equation 18 + 5x^2 = 30x. If each solution is rounded to the nearest integer, and then these two integers are multiplied together, what is the result?
The two integers are multiplied together, what is the result?
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\(5x^2-30x+18=0\\ x^2-6x+3.6=0\\ x=3\pm \sqrt{9-3.6} \)
\(x\in \{0.67621,\ 5.32379\}\)
\(1\times 5=5\)
The result is 5.
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