Ответ:

Пошаговое объяснение:

A^2 - 4\/x - 3 = a^2 - 2×a\/2 x + 4

Result:

A^2 - 4\/x - 3 = a^2 - a x + 4

Geometric figure:

pair of parallel lines

Solutions:

a!=0,   x = (-sqrt((-a^2 + A^2 - 7)^2 + 16 a) + a^2 - A^2 + 7)\/(2 a)

a!=0,   x = (sqrt((-a^2 + A^2 - 7)^2 + 16 a) + a^2 - A^2 + 7)\/(2 a)

a = 0,   A^2 - 7!=0,   x = 4\/(A^2 - 7)

Integer solutions:

More solutions

a = -10,   A =  ± 11,   x = 1

a = -3,   A =  ± 3,   x = -1

a = -1,   A =  ± 2,   x = -2

a = 0,   A =  ± 3,   x = 2

a = 2,   A =  ± 3,   x = -1

Number of integer solutions:

16

Implicit derivatives:

More

(da(A, x))\/(dx) = (4 + a x^2)\/((2 a - x) x^2)

(da(A, x))\/(dA) = (2 A)\/(2 a - x)

(dA(a, x))\/(dx) = -(4 + a x^2)\/(2 A x^2)

(dA(a, x))\/(da) = -(-2 a + x)\/(2 A)

(dx(a, A))\/(dA) = -(2 A x^2)\/(4 + a x^2)

(dx(a, A))\/(da) = ((2 a - x) x^2)\/(4 + a x^2)