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# Algebra

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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?

Oct 11, 2021

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The two integers are multiplied together,  what is the result?

Hello Guest!

$$5x^2-30x+18=0\\ x^2-6x+3.6=0\\ x=3\pm \sqrt{9-3.6}$$

$$x\in \{0.67621,\ 5.32379\}$$

$$1\times 5=5$$

The result is 5.

!

Oct 11, 2021