SOLUTION: Decide all values of b in the following equation that will give nore 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

Algebra ->  Square-cubic-other-roots -> SOLUTION: Decide all values of b in the following equation that will give nore 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       Log On


   



Question 50389: Decide all values of b in the following equation that will give nore 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 expression has solutions by looking at it in standard form.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Decide all values of b in the following equation that will give nore or more real number solutions.
(a) 3x^2 + bx-3=0
b^2-4(3)(-3)>0
b^2>12
x<-sqrt12 or x>sqrt12
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(b) 5x^2 + bx+1=0
b^2-4(5)(1)>0
b^2>20
b<-sqrt20 or b>sqrt20
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(c) -3x^2 + bx-3=0
b^2-4(-3)(-3)>0
b^2>36
b<-6 or b>6
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(d) write a rule for judging if an expression has solutions by looking at it in standard form.
b^2-4ac must be >0
Cheers,
Stan H.