solve the following equation and give your answer correct to two decimal places: 3x^2+5x=9.
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from sri Dharacharya rule
alfa = (-b+√b²-4ac)/2a
beta = (-b-√b²-4ac)/2a
from alfa
= (-5+√25+108)/6 = (-5+√133)/6 put now √133=11.53
= (-5+11.53)/6= 6.53/6 = 1.088
now from beta
= (-5-√25+108)/6 = (-5-√133)/6
(-5-11.53)/6= -16.53/6 = -2.755
so roots are ( 1.088, -2.755 )
alfa = (-b+√b²-4ac)/2a
beta = (-b-√b²-4ac)/2a
from alfa
= (-5+√25+108)/6 = (-5+√133)/6 put now √133=11.53
= (-5+11.53)/6= 6.53/6 = 1.088
now from beta
= (-5-√25+108)/6 = (-5-√133)/6
(-5-11.53)/6= -16.53/6 = -2.755
so roots are ( 1.088, -2.755 )
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