x² + 3x - 7 = 0;

x₁ + x₂ = -3; x₁ · x₂ = -7

x² + px + q = 0;

x'₁ = x₁ + 1; x'₂ = x₂ + 1

p = -(x'₁ + x'₂) = -(x₁ + 1 + x₂ + 1) = -(x₁ + x₂ + 2) = -(-3 + 2) = 1;

q = x'₁·x'₂ = (x₁ + 1)(x₂ + 1) = x₁ · x₂ + x₁ + x₂ + 1 = -7 - 3 + 1 = -9

Отже, x² + x - 9 = 0 - шукане рівняння.