1. x1 = -8 x2 = 8 2. x1 = 0 x2 = 6 3. x1 = -4 x2 = 9 4. x1 = -1/3 x2 = 3
Объяснение:
1. x² - 64 = 0
x² = 64
x = +- 8
x = -8
x = 8
x1 = -8 x2 = 8
2. x² - 6x =0
x * ( x - 6 ) = 0
x = 0
x - 6 = 0
x = 0
x = 6
x1 = 0 x2 = 6
3. x² - 5x - 36 =0
x² + 4x - 9x - 36 = 0
x * ( x + 4 ) - 9 ( x + 4 ) = 0
( x + 4 ) * ( x - 9 ) = 0
x + 4 = 0
x - 9 = 0
x = -4
x = 9
x1 = -4 x2 = 9
4. 3x²-8x-3=0
3x² + x - 9x - 3 = 0
x * ( 3x + 1 ) - 3 ( 3x + 1 ) = 0
( 3x + 1 ) * ( x - 3 ) = 0
3x + 1 = 0
x - 3 = 0
x = - 1/3
x = 3
x1 = -1/3 x2 = 3
