Question

Решите систему уровненный x+y=5; x-y^2=3

Answer 1

x+y=5
x-y²=3

y=5-x
x-(5-x)²=3

y=5-x
x-(25-10x+x²)=3

y=5-x
x-25+10x-x²=3

-x²+11x-25=3
x²-11x+28=0
D=11²-4*28=121-112=9=3²
x1=(11+3)/2=14/2=7
x2=(11-3)/2=8/2=4

y1=5-7=-2
y2=5-4=1