Find the quadratic equation, whose roots are #5# and #-4# and leading coefficient is #3#?

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Answer 1 · 2017-04-01T16:26:55

#3x^2-3x-60=0#

A quadratic equation whose roots are #alpha# and #beta# and leading coefficient is #a# is

#a(x-alpha)(x-beta)=0#

Hence, the quadratic equation whose roots are #5# and #-4# and leading coefficient is #3# is

#3(x-5)(x-(-4))=0#

or #3(x-5)(x+4)=0#

or #3(x^2-5x+4x-20)=0#

or #3(x^2-x-20)=0#

or #3x^2-3x-60=0#