x+y=46
x²+y²=1130
x=46-y
(46-y)²+y²=1130
2116-92y+y²+y²=1130
2y²-92y-986=0
y²-46y-493=0
Δ=(-46)²-4*1*(-493)
Δ=2116+1972
Δ=144
√Δ=12
y₁=(-(-46)-12)/(2*1)
y₁=34/2
y₁=17
y₂=(-(-46)+12)/(2*1)
y₂=58/2
y₂=29
x₁=46-17
x₁=29
x₂=46-29
x₂=17
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
x+y=46
x²+y²=1130
x=46-y
x²+y²=1130
(46-y)²+y²=1130
2116-92y+y²+y²=1130
2y²-92y-986=0
y²-46y-493=0
Δ=(-46)²-4*1*(-493)
Δ=2116+1972
Δ=144
√Δ=12
y₁=(-(-46)-12)/(2*1)
y₁=34/2
y₁=17
y₂=(-(-46)+12)/(2*1)
y₂=58/2
y₂=29
x₁=46-17
x₁=29
x₂=46-29
x₂=17