Twelve More Than The Square Of A Number Is Seven Times The Number.can You Find The Number?
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asked 6 months ago
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The problem is equivalent to finding factors of 12 that add to 7. 3 and 4 will do.
There are two solutions to the problem: 3, and 4.
Check
3^2 + 12 = 7*3
9 + 12 = 21 (yes)
4^2 + 12 = 7*4
16 + 12 = 28 (yes)
_____
x^2 + 12 = 7x (an equation restating the problem)
x^2 - 7x + 12 = 0 (subtract 7x from both sides)
(x-4)(x-3) = 0 (factor as described above)
There are two solutions to the problem: 3, and 4.
Check
3^2 + 12 = 7*3
9 + 12 = 21 (yes)
4^2 + 12 = 7*4
16 + 12 = 28 (yes)
_____
x^2 + 12 = 7x (an equation restating the problem)
x^2 - 7x + 12 = 0 (subtract 7x from both sides)
(x-4)(x-3) = 0 (factor as described above)
0
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