2. x1=1;
x2=-11/6
1) (x - 6)(x + 6) + x(8 - 2x) + 20 = 0
x² - 36 + 8x - 2x² + 20 = 0
-x² + 8x - 16 = 0
x² - 8x + 16 = 0
D = (-8)² - 4 × 1 × 16 = 64 - 64 = 0
x¹ =
2) (3x - 1)(3x + 1) - (3 - x)² + (2x + 1)² = 13
9x² - 1 - (9 - 9x + x²) + 4x² + 4x + 1 = 13
9x² - 1 - 9 + 9x - x² + 4x² + 4x + 1 = 13
12x² + 13x - 22 = 0
D = 13² - 4 × 12 × (-22) = 169 + 1056 = 1225
x² =
2. x1=1;
x2=-11/6
1) (x - 6)(x + 6) + x(8 - 2x) + 20 = 0
x² - 36 + 8x - 2x² + 20 = 0
-x² + 8x - 16 = 0
x² - 8x + 16 = 0
D = (-8)² - 4 × 1 × 16 = 64 - 64 = 0
x¹ =
2) (3x - 1)(3x + 1) - (3 - x)² + (2x + 1)² = 13
9x² - 1 - (9 - 9x + x²) + 4x² + 4x + 1 = 13
9x² - 1 - 9 + 9x - x² + 4x² + 4x + 1 = 13
12x² + 13x - 22 = 0
D = 13² - 4 × 12 × (-22) = 169 + 1056 = 1225
x¹ =
x² =