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What two numbers when multiplied you get 72 and when added get 24?
Updated: 4/28/2022
Wiki User
∙ 12y agoBest Answer
96
Anais Lang
Lvl 10
∙ 3y agoThis answer is:
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Wiki User
∙ 12y agoYou can work this out by taking these two expressions and plugging one of them into each other.
We are told:
a + b = 24
ab = 72
Let's take the first equation and solve for b:
a + b = 24
b = 24 - a
We can take this value and plug it into the second equation to solve for a:
ab = 72
a(24 - a) = 72
24a - a2 = 72
a2 - 24a = -72
a2 - 24a + 144 = 72
(a - 12)2 = 72
a - 12 = ± √72
a = 12 ± 6√2
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