if alpha and beta are the roots of 2x^2-4x-3=0, where alpha > beta, find the value of alpha – beta

Jawaban:

√10

Penjelasan dengan langkah-langkah:

2x² – 4x – 3 = 0

alpha – beta = (√D)/a

where D = b² – 4ac

a = 2

b = -4

c = -3

so

alpha – beta = √((-4)²-4(2)(-3))/2

alpha – beta = √(16 +24)/2

alpha – beta = √(40)/2

alpha – beta = 2√(10)/2

alpha – beta = √10