What two numbers have a product of -3/2 and a sum of -7/2?

Answer 1

xy=-3/2

x=-3/2y

x+y =-7/2

substitute 2nd equation into 3rd

-3/2y +y = -7/2

multiply both sides by 2y

-3 +2y^2 =-7y

2y^2 +7y -3 = 0

y = -7/4 + or - (1/4)sqr(49+24)

= -7/4 + or -sqr73/4

= (-7+ or -8.544)/4

= (1.544/4 or -15.544)/4

= about 0.386 or - 3.886

x= -3/2y = -3.886 or 0.437

the two numbers are x and y = (x,y) =approximately (-3.886, 0.386) or (0.437, -3.886)