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Brady Michael
13 September, 13:13
What numbers multiply to - 30 and add to - 3
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Evie Armstrong
13 September, 16:28
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Let the numbers be x and y. Then xy = - 30 and x+y = - 3.
Solve xy = - 30 for y: y = - 30/x
subst. - 30/x for y in x+y = - 3: x - 30/x = - 3
Multiply all 3 terms by x: x^2 - 30 = - 3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = - 5, then x+y = - 3 becomes - 5 + y = - 3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
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