SOLUTION: Find the range of values of p for which 4x^2+12x+15=p(4x+5) has real roots.

Question 1050486: Find the range of values of p for which 4x^2+12x+15=p(4x+5) has real roots.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Use the discriminant,

So then,

For real roots,

Use the critical points, and ,
Break up the number line into 3 regions,
Region 1 :
Region 2 :
Region 3 :
Choose a value in each region and check the inequality,
Region 1 :

True
Region 2 :

False
Region 3 :

True
So then,
U

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