document.write( "Question 329830: If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k?\r
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document.write( "(A) - 25/4 (B) -5/2 (C) -1/4 (D) 0 (E) 6
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Algebra.Com's Answer #236419 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If x^2 - 5x + 6 = (x - h)^2 + k, what is the value of k? \n" ); document.write( "---- \n" ); document.write( "x^2-5x+6 = x^2-2hx+h^2+k \n" ); document.write( "--- \n" ); document.write( "Equate the coefficients: \n" ); document.write( "-2h = -5 \n" ); document.write( "h^2+k = 6 \n" ); document.write( "------ \n" ); document.write( "h = 5/2 \n" ); document.write( "Substitute and solve for \"k\": \n" ); document.write( "(5/2)^2+k = 6 \n" ); document.write( "k = 6-(25/4) \n" ); document.write( "--- \n" ); document.write( "k = -1/4 \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " \n" ); document.write( "(A) - 25/4 (B) -5/2 (C) -1/4 (D) 0 (E) 6 \n" ); document.write( " \n" ); document.write( " |