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2009-12-30T20:45:24+01:00
2009-12-31T00:13:37+01:00
{2x-y-1=0
{(x-5)²+y=16

{y=2x-1
{(x-5)²+y=16

(x-5)²+2x-1=16
x²-10x+25+2x-1=16
x²-8x+8=0
Δ=8²-4*8 =64-32 = 32
√Δ=4√2

x=8-4√2 /2 = 4-2√2 ∨ x=8+4√2 /2 = 4+2√2

odp
{x=4-2√2
{y=2(4-2√2)-1 = 8-4√2-1 =7-4√2

{x=4+2√2
{y=2(4+2√2)-1 = 8+4√2-1 =7+4√2