rozwiąż równanie (x-1)(x+2)=(2x-3)(x+4)
(x-1)(x+2) = (2x-3)(x+4)
x²+2x-x-2 = 2x²+8x-3x-12
x²+x-2 = 2x²+5x-12
x²-2x²+x-5x-2+12 = 0
-x²-4x+10 = 0 I*(-1)
x²+4x-10 = 0
Δ = b²-4ac = 16+40 = 56
√Δ = √56 = 2√14
x1 = (-b-√Δ)/2a = (-4-2√14)/2 = -2-√14
x2 = (-b+√Δ)/2a = (-4+2√14)/2 = -2+√14
(x-1)(x+2)=(2x-3)(x+4)
x²+2x-x-2=2x²+8x-3x-12 |-2x²
-x²+x-2=5x-12 |-5x, +12
-x²-4x+10=0 |:(-)
x²+4x-10=0
x²+4x+4-14=0
(x+2)²=14
x+2=√14 lub x+2=-√14
x=√14-2 lub x=-√14-2
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(x-1)(x+2) = (2x-3)(x+4)
x²+2x-x-2 = 2x²+8x-3x-12
x²+x-2 = 2x²+5x-12
x²-2x²+x-5x-2+12 = 0
-x²-4x+10 = 0 I*(-1)
x²+4x-10 = 0
Δ = b²-4ac = 16+40 = 56
√Δ = √56 = 2√14
x1 = (-b-√Δ)/2a = (-4-2√14)/2 = -2-√14
x2 = (-b+√Δ)/2a = (-4+2√14)/2 = -2+√14
(x-1)(x+2)=(2x-3)(x+4)
x²+2x-x-2=2x²+8x-3x-12 |-2x²
-x²+x-2=5x-12 |-5x, +12
-x²-4x+10=0 |:(-)
x²+4x-10=0
x²+4x+4-14=0
(x+2)²=14
x+2=√14 lub x+2=-√14
x=√14-2 lub x=-√14-2