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In ordinary mathematics, assuming that x = X and that X2 denotes x2 or x-squared, there cannot be a counterexample since the statement is TRUE.
However, there are two assumptions made that could be false and so could give rise to counterexamples.
1. x is not the same as X. If, for example X = 4x then X = -20 so that X2 = 400.
2a. X2 is not X2 but X times 2. In that case X2 = -10.
2b. X2 is x2 modulo 7, for example. Then X2 = 4.
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Earn +20 ptsQ: Find a counterexample if x equals -5 then X2 equals 25?
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Continue Learning about Calculus
What number must you add to complete the square x2 plus 10x equals 8?
Twenty-Five x2 + 10x = 8 x2 + 10x + 25 = 8 + 25 (x + 5)2 = 33
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x2 = 6482 = 64x = 8
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if x2 + 7 = 37, then x2 = 29 and x = ±√29
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f(x) = x2 + 3 ----> f(5) = (5)2 + 3 ----> f(5) = 28
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6x - 1 = 29 => 6x = 30 => x = 5 Then x2 + x = 25 + 5 = 30
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