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 rule for ju
Algebra ->
Polynomials-and-rational-expressions
-> 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 rule for ju
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Question 100882: 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 Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! D) Rule: If (b^2-4ac) >= 0 then you have a real number solution.
A)-4ac=-4*3*-3=36 so b can be any real number.
B)-4ac=-4*5*1=-20 so if b<= -sqrt(20)= -2sqrt(5) or b>= 2sqrt(5) there will be a real number solution.
C)-4ac=-4*-3*-3=-36 so if b<=-6 or b>=6 there will be a real number solution.
Ed
