The number is 2
To find the answer set the problem up like this:
4X + 3 = 11
Now, solve for X.
Whatever you do to one side of the = sign, do to the other side.
Take 3 away from both sides: 4x = 8
Now divide both sides by 4: x = 2
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Expand z plus 11 times z plus 11 = (z+11)(z+11) = z2 + 22z + 121.
L = S + 11; 2S + 3(S + 11) = 123, ie 2S + 3S + 33 = 123ie 5S = 90 ie S = 18 and L = 29
(x + 3)2 = 11 + (x + 2)2x2 + 6x + 9 = 11 + x2 + 4x + 46x - 4x = 11 + 4 - 92x = 6x = 3Check: (3 + 3)2 = 11 + (3 + 2)2 ? ie 36 = 11 + 25 ? Yes. There you have it.
Let the unknown number be called x: 3x-11 = x+33 3x-x = 33+11 2x = 44 x = 22 So the number is 22
If you mean: (x+3) squared = (x+2) squared +11 Then the value of x works out as 3