If the equations x\(^2\) - 5x + 6 = 0 and x\(^2\) + px + 6 = 0 have the same roots, find the value of p.
a
5
b
6
c
-5
d
-6
Explanation
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Beatrice01
1 year ago
X^2-5x +6=0
Factorise the equation
X^2-3x-2x+6
X(x-3)-2(x-3)
(x-2)(x-3)
Therfore x=+2,x=+3
put x=+2 or +3 into (x^2+Px+6=0)
Using either x=+2 or +3
we get P=-5
