Question

Tentukan himpunan penyelesaian dari sistem persamaan y=3x^2-7x+5 dan y=x+1

Answer 1

Pakai rumus y1 = y2 ego
jadi
y1 = y2
3x^2 - 7x + 5 = x + 1
3x^2 - 8x + 4 = 0
(3x - 2) (x - 2) = 0
a. 3x - 2 = 0
    3x = 2
    x1 = 2/3
    y1 = 3x^2 - 7x + 5
        = 3 (2/3)^2 - 7 (2/3) + 5
        = 2^2 - 14/3 + 5
        = 13/3
b. x - 2 = 0
    x2 = 2
    y2 = x + 1
        = 2 + 1
        = 3

jadi
hp= {(2/3, 13/3) dan (2, 3)}
beres :)
    
           
           

Answer 2

Y = 3x^2 -7x + 5 dan  Y = x + 1
maka
 3x^2 -7x + 5 = x + 1
3x^2 - 7x - x + 5 - 1 = 0
3x^2 - 8x + 4 = 0
( 3x - 2) (x  - 2) = 0
Maka x = 2/3 atau x = 2
jika x = 2/3 maka y = 2/3 + 1 = 5/3
jika x = 2 maka y = 2 + 1 = 3
(2/3, 5/3) , (2,3)