SOLUTION: (a)If the quadratic equation of 6x^2－7x＝2k has two distinct real roots, (i) find the range of possible values of k, (ii) find the roots of the equation when k is th

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: (a)If the quadratic equation of 6x^2－7x＝2k has two distinct real roots, (i) find the range of possible values of k, (ii) find the roots of the equation when k is th      Log On


   

Question 994128: (a)If the quadratic equation of 6x^2－7x＝2k has two distinct real roots,
(i) find the range of possible values of k,
(ii) find the roots of the equation when k is the smallest integer in (a)(i)
(b) Using the result of (a)(ii), solve －3(x＋p)^2＋7/2(x＋p)－5/6＝0, where p is a constant. (give the answers in terms of p.)
Answer by solver91311(24713) About Me  (Show Source):
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For two distinct roots, the discriminant must be greater than zero, so:





John

My calculator said it, I believe it, that settles it