SOLUTION: Find the value of k for which the equation 3x2 − kx + 7 = 0 will have two real solutions.

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Question 259772: Find the value of k for which the equation 3x2 − kx + 7 = 0 will have two real solutions.
Found 2 solutions by Fombitz, CharlesG2:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Look at the discriminant.
For real roots, D>0.



or
Answer by CharlesG2(834)   (Show Source): You can put this solution on YOUR website!
Find the value of k for which the equation 3x2 − kx + 7 = 0 will have two real solutions.
3x^2 -kx +7 = 0
a quadratic equation is ax^2+bx+c=0
solved by:

b^2-4ac is the discriminant
the discriminant needs to be greater than 0
a=3, b=-k, c=7
(-k)^2-4*3*7
k^2-12*7
k^2-84
k^2 needs to be greater than 84
k=sqrt(84)=sqrt(4*21)=2*sqrt(21)=9.165151
k needs to be greater than 9.165151
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