Question

Установіть відповідність між рівняннями а)-г) і множинами їх коренів А-Г

Answer 1

відповідність аг і АГ їхні корені

Answer 2

Matching Equations with Their Sets of Roots

Equation A: \(x^2 - 4 = 0\) - Roots: \(x = -2, 2\)

Equation B: \(x^2 + 4 = 0\) - Roots: This equation has no real roots because the square of any real number is non-negative, and adding 4 to it will always result in a positive number. Therefore, the roots are complex or imaginary.

Equation C: \(x^2 - 9 = 0\) - Roots: \(x = -3, 3\)

Equation D: \(x^2 - 16 = 0\) - Roots: \(x = -4, 4\)

Equation E: \(x^2 - 25 = 0\) - Roots: \(x = -5, 5\)

Equation F: \(x^2 - 36 = 0\) - Roots: \(x = -6, 6\)

Equation G: \(x^2 - 49 = 0\) - Roots: \(x = -7, 7\)

The matching sets of roots for the given equations are as follows: - Equation A: Set of roots { -2, 2 } - Equation B: Set of roots { Complex or Imaginary } - Equation C: Set of roots { -3, 3 } - Equation D: Set of roots { -4, 4 } - Equation E: Set of roots { -5, 5 } - Equation F: Set of roots { -6, 6 } - Equation G: Set of roots { -7, 7 }