Question

Reova o sistema de equacao x2 +y2=34 x+y=8

Answer 1

x+y=8
x^2+y^2=34
-------------------------
x=8-y
x^2+y^2=34
(8-y)^2 +y^2=34
[(y)^2-16y+64]+y^2=34
y^2-16y+64+y^2=34
2y^2-16y+64-34=0
2y^2-16y+30=0
a=2...b=-16...c=30

Primeiro enconttando com a formula DELTA
delta = b^2 - 4 a c
delta = (-16)^2 - 4(2)(30)
delta = 256 - 8(30)
delta = 256 - 240
delta = 16

Segundo encontramos com a formula de BASKARA
y = - b +,- \/delta /2a
y= -(-16)+,-\/16 / 2(2)
y = 16+,- 4 / 4
y1 = 16 + 4 / 4》y1 = 20 / 4》y1 = 5
y2 = 16 - 4 / 4》 y2 = 12 / 4》y2 = 3

x1 = 8 - y1》x1 = 8- 5》x1 = 3
x2 = 8 - y2》x2 = 8 - 3》x2 = 5