Respuesta :
We can solve this equation by completing square
and using formula a² -2ab+b² = (a-b)²
x²-3x=-5/4
x² -2*3/2x +(3/2)² = -5/4 +(3/2)²
(x-3/2)²= -5/4 +9/4
(x-3/2)²= 1
√(x-3/2)²= +/-√1
x-3/2 = 1, or x-3/2 = - 1
x=1+3/2=5/2=2.5 or x=-1+3/2= 1/2=0.5
So we got 2 answers
x=2.5 and x= 0.5.
and using formula a² -2ab+b² = (a-b)²
x²-3x=-5/4
x² -2*3/2x +(3/2)² = -5/4 +(3/2)²
(x-3/2)²= -5/4 +9/4
(x-3/2)²= 1
√(x-3/2)²= +/-√1
x-3/2 = 1, or x-3/2 = - 1
x=1+3/2=5/2=2.5 or x=-1+3/2= 1/2=0.5
So we got 2 answers
x=2.5 and x= 0.5.
