X = {x:x^2 − 7x + 6 = 0} ⇒ X =

Question

\(X=\left\{x: x^2-7 x+6=0\right\} \Rightarrow X=\)

(A) \(\{-1,6\}\)

(B) \(\{6,1\}\)

(C) \(\{7,6\}\)

(D) \(\{-7,1\}\)

Answer 1

Correct option is (B) \(\{6,1\}\)

\(X=\left\{x: x^2-7 x+6=0\right\} \)

\(x^2-7 x+6=0\)

\(x^2 - 6x-x+6 = 0\)

\(x(x - 6)-1(x -6) =0\)

\((x - 6) (x - 1) = 0\)

\(x = 6, 1\)

\(\Rightarrow X= \{6, 1\}\)