SOLUTION: Show that the equation {{{ (9k-8)x^2-6kx+k+2=0 }}} has roots which are different if {{{ k<8/5 }}}

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Question 1134883: Show that the equation has roots which are different if
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Show that the equation has roots which are different if
discriminant shows you when equation has different roots
if you want distinct real roots, therefore the discriminant must be positive:

in your case , , and
so,








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