Math, asked by tenzindhondup60, 10 months ago

factorize using the splitting the middle term
x^2-11x+9

Answers

Answered by ToxicEgo
1

x²-11x+9=0

comparing them above equation with

ax²+bx+c=0

therefore, a=1, b=-11 and c=9

therefore third term=[b/2]²

=(-11/2) ²

=121/4

therefore, x²-11x+121/4-121/4+9=0

(x-11/2) ²-121/4+9=0

(x-11/2) ²-121+36/9=0

(x-11/2) ²-85/9=0

(x-11/2) ²=85/9

(x±11/2) ²=85/9

x±11/2=√85\√9

x±11/2=√85/3

x=√85/3+11/2 or √85/3-11/2

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