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Reece Hermann
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∙ 12y agoIf the two numbers are x & y, then x*y = 210, and x + y = -23.
From the 2nd equation, let y = -23 - x, then substitute into first: x*(-23 - x) = 210, then expand:
-23*x - x² = 210, rearrange: x² + 23*x + 210 = 0, using the quadratic formula, we can see that the solution is complex : square root of [23² - 4*210] = sqrt(-311).
So there are no two real numbers which satisfy the conditions.
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What 2 numbers add up to 23 and multiply to make 210?
The factor pairs of 210 are (210,1)(105,2)(70,3)(42,5)(35,6)(30,7)(21,10)(15,14) None of them add up to 23. If that was -210, you could use 30 and -7.
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There aren't any whole numbers that satisfy these conditions. The only numbers that multiply to 23 are 23 and 1.
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