suma dwóch liczb jest równa 35, a ich iloczyn 244. jakie to liczby?
x+y=35
x*y=244
x=35-y
(35-y)y=244
35y-y²-244=0
-y²+35y-244=0
Δ=1225-4*(-1)(-244)=1225-976=249 √249=15,78
y1=(-b-√Δ)/2a=(-35-15,78)/-2= 25,39 ⇒ x=35-y=35-25,39=9,61
y2=(-b+√Δ)/2a=(-35+15,78)/-2= 9,61 ⇒ x=35-y=35-9,61=25,39
szukane liczby to 9,61 i 25,39
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x+y=35
x*y=244
x=35-y
(35-y)y=244
x=35-y
35y-y²-244=0
-y²+35y-244=0
Δ=1225-4*(-1)(-244)=1225-976=249 √249=15,78
y1=(-b-√Δ)/2a=(-35-15,78)/-2= 25,39 ⇒ x=35-y=35-25,39=9,61
y2=(-b+√Δ)/2a=(-35+15,78)/-2= 9,61 ⇒ x=35-y=35-9,61=25,39
szukane liczby to 9,61 i 25,39