Question

Tentukan nilai p agar persamaan x²+(2p-1)x+(p²-3p-4)=0 agar kedua akarnya saling berlawanan

Answer 1

x²+(2p-1)x+(p²-3p-4) = 0
akar saling berlawanan --> x₁ = -x₂
x₁+x₂ = -b/a = -(2p-1)/1 = -2p+1

x₁+x₂ = -2p+1
-x₂+x₂ = -2p+1
0 = -2p+1
2p = 1
p = 1/2

semoga membatu ya :)