Question

Garis y=x +n akan menyinggung parabola y=2x^+3x-5.jika nilai n sama dengan ....

Answer 1

Y = x + n
=> 2x^2 + 3x - 5 = x + n
=> 2x^2 + 2x - 5 - n = 0
karena menyinggung maka D = 0
b^2 - 4ac = 0
=> (2)^2 - 4(2)(-5 - n) = 0
=> 4 + 40 + 8n = 0
=> 8n = -44
=> n = -44/8 = -11/2 = -5,5