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Algebra

X^2-1 factor

Input interpretation factor | x^2 – 1 Result (x – 1) (x + 1) Irreducible factorization (x – 1) (x + 1) Factorizations over finite fields GF(2) | (x + 1)^2

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Algebra

X^2=y

Input x^2 = y Geometric figure parabola Alternate form x^2 – y = 0 Real solution y = x^2 Solution y = x^2 Derivative (d)/(dx)(x^2) = 2 x Global minimum min{x^2} = 0 at x = 0

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Algebra

X^2=-9

Input x^2 = -9 Alternate form x^2 + 9 = 0

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Algebra

X^2=64

Input x^2 = 64 Alternate form x^2 – 64 = 0

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Algebra

X^2=36

Input x^2 = 36 Alternate form x^2 – 36 = 0

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Algebra

X^2=25

Input x^2 = 25 Alternate form x^2 – 25 = 0

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Algebra

X^2+y^2-z^2=1

Input x^2 + y^2 – z^2 = 1 Geometric figure one-sheeted hyperboloid

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Algebra

X^2=0

Input x^2 = 0 Solution x = 0

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Algebra

X^2+y^2=36

Input x^2 + y^2 = 36 Geometric figure circle Alternate form x^2 + y^2 – 36 = 0

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Algebra

X^2+y^2=25

Input x^2 + y^2 = 25 Geometric figure circle Alternate form x^2 + y^2 – 25 = 0 Number of integer solutions 12

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