X2+6x+5=0 , solve it please
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x²+6x+5=0
To Factorize the equation
Using Splitting The Middle Term method
that is
here,a=1,b=6,c=5
then
P= AC (product= a×c)=1×5=5
S= B (sum = b) = 6
To find two factors of 5,whose sum is 6
that is
5 and 1 itself
Let them be x each
that is 5x and x
therefore
x²+5x+x+5
x(x+5)+ 1(x+5)
that is
(x+1)(x+5)
Therefore the value of x=
-1 and -5
that is
x+1=0,x=-1
x+5=0,x=-5
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