Treść w załączniku!
a) x²-36/x²+x-20 · x²-16/2x+12=(x-6)(x+6) /a(x-x₁)(x-x₂) · (x-4)(x+4) / 2(x+6)=(x-6) / 1(x+5)((x-4) · (x-4)(x+4) / 2=(x-6)/(x+5) · (x+4)/2
x²+x-20=0
Δ=b²-4ac x≠-5
Δ=1-4·1·(-20)=81
√Δ=9
x₁=-1-9 /2=-10/2=-5
x₂=-1+9/2=8/2=4
b) x/x+2-1/x=x·x-1(x+2)/(x+2)x=x²-1x-2/(x+2)x x≠-2
6. 3x-4/2x+7=4½
3x-4/2x+7=9/2 (mnożymy na krzyż)
6x-8=18x+63
6x-18x=63+8
-12x=71/-12
x=-71/12
x=-5 11/12
2x+7=0
2x=-7/:2
x=-7/2
x≠-3½
pomogłam? liczę na naj :)
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a) x²-36/x²+x-20 · x²-16/2x+12=(x-6)(x+6) /a(x-x₁)(x-x₂) · (x-4)(x+4) / 2(x+6)=(x-6) / 1(x+5)((x-4) · (x-4)(x+4) / 2=(x-6)/(x+5) · (x+4)/2
x²+x-20=0
Δ=b²-4ac x≠-5
Δ=1-4·1·(-20)=81
√Δ=9
x₁=-1-9 /2=-10/2=-5
x₂=-1+9/2=8/2=4
b) x/x+2-1/x=x·x-1(x+2)/(x+2)x=x²-1x-2/(x+2)x x≠-2
6. 3x-4/2x+7=4½
3x-4/2x+7=9/2 (mnożymy na krzyż)
6x-8=18x+63
6x-18x=63+8
-12x=71/-12
x=-71/12
x=-5 11/12
2x+7=0
2x=-7/:2
x=-7/2
x≠-3½
pomogłam? liczę na naj :)