Question 64397
THE GIVEN EXPRESSION IS: 


{{{X^2}}} – 6X – 7 = 0


THE CONSTANT CAN BE FACTORED AS 7 TIMES 1 (7 * 1) 


HENCE, THE GIVEN EXPRESSION CAN BE WRITTEN AS: 


{{{X^2 - 7X + 1X - 7 = 0}}} 


TAKING COMMON TERMS BETWEEN THE FIRST TWO TERMS AND THE NEXT TWO TERMS, WE GET:



{{{X(X - 7) + 1(X - 7) = 0}}}


{{{(X - 7)(X + 1) = 0}}} [TAKING (X - 7) AS A COMMON FACTOR] 


THE VALUES OF X CAN BE FOUND OUT BY EQUATING EACH ONE TO ZERO.


THUS, THE VALUES OF X ARE: 


(X - 7) = 0 OR (X + 1) = 0 


THIS IMPLIES: 


X = 7 OR X = -1 


HENCE, THE SOLUTION ....



REGARDS
Chitra


HAPPY CALCULATING!!!