document.write( "Question 1133750: IF [(X-4)^5 -7(X-4)^4 +7(X-4)^3 -7(X-4)^2 +7(X-4)-6=0] FIND THE VALUE OF X....please help me to solve this problem..as soon as possible...Thank you \n" ); document.write( "
Algebra.Com's Answer #750999 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "IF [(X-4)^5 -7(X-4)^4 +7(X-4)^3 -7(X-4)^2 +7(X-4)-6=0] FIND THE VALUE OF X....please help me to solve this problem..as soon as possible...Thank you
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This problem is EXTREMELY easy......easier than you would ever think.
\n" ); document.write( "You'll notice that the variable here is actually the binomial X - 4. SO, let X - 4 be a
\n" ); document.write( "Then becomes: \"matrix%281%2C3%2C+a%5E5+-7a%5E4+%2B+7a%5E3+-+7a%5E2+%2B+7a+-+6%2C+%22=%22%2C+0%29\".
\n" ); document.write( "Now, using the RATIONAL ROOT THEOREM, LONG DIVISION of POLYNOMIALS, or SYNTHETIC DIVISION, and the factors of 6. which are 1, -1, 2, -2, 3, -3, 6, or -6,
\n" ); document.write( "we find that: , and so, 6 is a ROOT of the function: \"matrix%281%2C3%2C+a%5E5+-7a%5E4+%2B+7a%5E3+-+7a%5E2+%2B+7a+-+6%2C+%22=%22%2C+0%29\".
\n" ); document.write( "Since X - 4 = a, and a = 6, we can say that: X - 4 = 6, and so: \"highlight_green%28matrix%281%2C5%2C+X%2C+%22=%22%2C+6+%2B+4%2C+%22=%22%2C+10%29%29\" \n" ); document.write( "
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