Question

Diferenta solutiilor ecuatiei x^2 + x + m = 0 este egala cu 6. Aflati coeficientul m shi solutiile ecuatiei. DAU COROANA

Answer 1

x²+x+m=0
Δ=b²-4ac=1-4m
x₁=(-1+√(1-4m))/2
x₂=(-1-√(1-4m))/2
x₁-x₂=[-1+√(1-4m)+1+√(1-4m)]/2=
=[2√(1-4m)]/2=
=√(1-4m)=6
=>1-4m=36
=>4m=-35
m=-35/4