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Can someone explain the square method in chapter quadratic equation please |
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Answer» I hope you understand. In completing the square method ,,,,For example = 2x² - 5x + 3 = 0 ,, so we need to remove coefficient 2 from x².,,Then ,, 2 ( x² - 5x/2 + 3/2 ) = 0 /2 = 0,,= x² - 5x/2 + 3/2 = 0 ,,,,Second step - x² - 5x/2 = - 3/2 ,,Third step - x² - 5x/2 + [ 5/2 ]² - [5/2 ]² = - 3/2 ,,,,use the formula of( a - b )².Forth step -[ x² - 5/4 ]² - [5/2]² = - 3/2,,,,=[ x - 5/4 ]² = - 3/2 +[ 5/2]²,,= [ x - 5/4]² = - 3/2 + 25/4,,,,= [ x - 5/4 ]² = - 24 + 25 / 16 =( [ x² - 5x/2]² = 1/16),,,,root of 16 is 4 then,,,,= x - 5/4 = ± root 1/4,,,,= Firstly take positive integer. + 1/4 . Then negative. - 1/4.x = 1/4 + 5/4 = 1 + 5 / 4 = 6/4 = 3/2 ,,= X = 2. = X = 2 . = x = - 1/4 + 5/4 = - 1 + 5 /4 = 4/4 = 1. = X = 1.[Answer is X =1 and X = 2 ],,Hence proved ,, It is not important because this method is deleted in syllabusThank you,,Shubham Saxena |
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