SOLUTION: decide all values of b in the following equations that will give one or more real number solutions. a) 3x^2 + bx - 3 = 0 b) 5x^2 + bx + 1 = 0 c) -3x^2 + bx - 3 = 0 d) Write a

Algebra ->  Radicals -> SOLUTION: decide all values of b in the following equations that will give one or more real number solutions. a) 3x^2 + bx - 3 = 0 b) 5x^2 + bx + 1 = 0 c) -3x^2 + bx - 3 = 0 d) Write a      Log On


   



Question 74560: decide all values of b in the following equations that will give one or more real number solutions.
a) 3x^2 + bx - 3 = 0
b) 5x^2 + bx + 1 = 0
c) -3x^2 + bx - 3 = 0
d) Write a rule for judging if an equation has solutions by looking at it in standard form.

I do not understand how can find these solutions.
Please show work

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2+%2B+bx+-+3+=+0
x%283x+%2B+b%29+-+3+=+0
x%283x+%2B+b%29+=+3
3x+%2B+b+=+3%2Fx
(a) b+=+3%2Fx+-+3x
(b) b+=+-1%2Fx+-+5x
(c) b+=+3%2Fx+%2B+3x
(d) In general
b+=+a%2Fx+%2B+cx
where ax%5E2+%2B+bx+%2B+c+=+0