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What numbers multiplied together equal _, and can be added to be _?
So, what two numbers can be multiplied together to equal 96, but when added, are 28?
-30 and -4?
-120 and -37?
72 and 6?
432 and 54?
If you don't mind, can you solve the numbers I posted above? I didn't mean those to look like guesses to the first numbers (96&28). Thanks!
6 Answers
- DavidLv 78 years ago
xy = 96
x + y = 28
y = 28 - x
x(28 - x) = 96
28x - x^2 = 96
0 = x^2 - 28x + 96
0 = (x - 4)(x - 24)
x = 4
x = 24
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- Anonymous4 years ago
a + b = 3 and a*b = -4 b = 3 - a ==> a(3 - a) = -4 ==> 3a - a^2 = -4 ==> a^2 - 3a - 4 = 0 ==> a^2 + a - 4a - 4 = 0 ==> a(a + a million) - 4(a + a million) = 0 ==> (a - 4)(a + a million) = 0 So a = 4 or -a million and b = -a million or 4
