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Mathematics, 22.10.2019 13:50 bale4

Some of the steps in the derivation of the quadratic formula are shown. step 4: startfraction negative 4 a c + b squared over 4 a endfraction = a ( x + startfraction b over 2 a endfraction) squared step 5: (startfraction 1 over a endfraction) startfraction b squared minus 4 a c over 4 a endfraction = (startfraction 1 over a endfraction) a (x + startfraction b over 2 a endfraction) squared step 6: startfraction b squared minus 4 a c over 4 a squared endfraction = ( x + startfraction b over 2 a endfraction) squared step 7: startfraction plus or minus startroot b squared minus 4 a c endroot over 2 a endfraction = x + startfraction b over 2 a endfraction which best explains why the expression plus or minus startroot b squared minus 4 a c endroot cannot be rewritten as b plus or minus startroot negative 4 a c endroot during the next step? negative values, like βˆ’4ac, do not have a square root. the Β± symbol prevents the square root from being evaluated. the square root of terms separated by addition and subtraction cannot be calculated individually. the entire term b2 βˆ’ 4ac must be divided by 2a before its square root can be determined.

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