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5x^2-37x-264=0 |
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Answer» According to the Quadratic Formula,x,the solution forAx2+Bx+C=0, whereA, B andCare numbers, often called coefficients, is given by :-B± √B2-4ACx = ————————2A In our case,A= 5B=-37C=-264 Accordingly,B2-4AC=1369 - (-5280) =6649 Applying the quadratic formula : 37 ± √6649x=——————10 √6649 , rounded to 4 decimal digits, is81.5414So now we are looking at:x=(37± 81.541 )/10 Two real solutions: x =(37+√6649)/10=11.854 or: x =(37-√6649)/10=-4.454 Two solutions were found : x =(37-√6649)/10=-4.454 x =(37+√6649)/10=11.854 |
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