if 2 and -3 are the zeroes of the quadratic polynomial x2+(a+1)x+b then find the values of a and b.
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Step-by-step explanation:
Let us take a=2 and b=-3
We know alpa +beta@=-b/a and alpha.beta=c/a
By eq x square +a+1x+b
-b/a=-(a+1)/1=-a-1
C/a=b/1
Alpha=@ and beta=&
@+&=2+(-3)=-1
@.&=2×-3=-6
Now
-a-1=-1
a=0
b/1= -6
b=-6
Just to check it substitute the value of a and b in eq n c whether you get 2 and -3
X^2+0+1x+(-6)
X^2+1x-6
By factorisation
X^2+(3x-2x)-6
X(x+3)-2(x+3)
X=-3 and x=2
Hope you got the answer
And its helpful for u
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