SOLUTION: find the value of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.

SOLUTION: find the value of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.

Algebra.Com

Question 940400: find the value of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

find the value of if the equations
and

have a common root
find roots:

.....roots are
=>=>
and
=>=>
if is same root, then we have
...solve for

check the roots using
...both sides multiply by
......factor

roots:
=>=>
and
=>=> ...which is same as a root of a given equation
let's see it on a graph:

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