Odpowiedź:
x-y = 2
x²+y²=100
x = y+2
(y+2)²+y²=100
y²+4x+4+y²-100 = 0
2y²+4x-96 = 0 ========:2
y²+2x-48=0
Δ=b²-4ac = 4+192 =196
√Δ = 14
x₁ = (-2-14)/2 = -8; x₂=(-2+14)/2 = 6
czyli y = -8 to x = -6, lub y = 6 to x = 8
sprawdzam
-6-(-8) = -6+8 = 2
(-6)²+(-8)² = 100 czyli ok
Szczegółowe wyjaśnienie:
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Odpowiedź:
x-y = 2
x²+y²=100
x = y+2
(y+2)²+y²=100
y²+4x+4+y²-100 = 0
2y²+4x-96 = 0 ========:2
y²+2x-48=0
Δ=b²-4ac = 4+192 =196
√Δ = 14
x₁ = (-2-14)/2 = -8; x₂=(-2+14)/2 = 6
czyli y = -8 to x = -6, lub y = 6 to x = 8
sprawdzam
-6-(-8) = -6+8 = 2
(-6)²+(-8)² = 100 czyli ok
Szczegółowe wyjaśnienie: