SOLUTION: Solve. x^2 – 6x – 7 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve. x^2 – 6x – 7 = 0      Log On


   

Question 64397: Solve. x^2 – 6x – 7 = 0
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
THE GIVEN EXPRESSION IS:

X%5E2 – 6X – 7 = 0

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

HENCE, THE GIVEN EXPRESSION CAN BE WRITTEN AS:

X%5E2+-+7X+%2B+1X+-+7+=+0

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


X%28X+-+7%29+%2B+1%28X+-+7%29+=+0

%28X+-+7%29%28X+%2B+1%29+=+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!!!