SOLUTION: if it is given that f(x)=x^2-5x-14,please help me to determine the value of k, for which f(x)=k will have two unequal positive real roots

Algebra ->  Functions -> SOLUTION: if it is given that f(x)=x^2-5x-14,please help me to determine the value of k, for which f(x)=k will have two unequal positive real roots      Log On


   

Question 1117201: if it is given that f(x)=x^2-5x-14,please help me to determine the value of k, for which f(x)=k will have two unequal positive real roots
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if it is given that f(x)=x^2-5x-14,please help me to determine the value of k, for which f(x)=k will have two unequal positive real roots
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If the discriminant is > 0, there are 2 real roots. Not necessarily positive.
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f(x)=x^2-5x-14 = k
x^2-5x-14 - k = 0
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Find the discriminant.
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PS Helping you does not mean doing it for you.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if it is given that f(x)=x^2-5x-14,please help me to determine the value of k, for which f(x)=k will have two unequal positive real roots
Solve::
x^2-5x-14 = k
x^2-5x-(14+k) = 0
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Note:: b^2-4ac must be > 0
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25-4*1(-14-k) > 0
25+56+4k > 0
4k > -81
k > -81/4
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Cheers,
Stan H.
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