# SOLUTION: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer. x2 – 4x - 77 = 0

Algebra ->  Algebra  -> Equations -> SOLUTION: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer. x2 – 4x - 77 = 0       Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Equations Question 194177: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer. x2 – 4x - 77 = 0 Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!x^2 -4x -77 , use discriminate to check number of answers remember, D less than 0,,,,,no solutions ,,,,,,,,,,,,,,,,,,,D =0, one solution ,,,,,,,,,,,,,,,,,,,D >0, two solutions , a=1,,b=(-4),,c=(-77),,,, D= sqrt ( b^2 - 4 * a * c ) , D = sq rt ( (-4)^2 - 4 (1) ( -77) ) = sqrt ( 16 + 308 ) =sqrt ( 324) = 18 therefore, D >0,,,and two solutions , completing quadratic eqn ( or factoring original ) , x = ( 4 +/- 18 )/2 = 11, and -7 checking by substituting both in original eqn ,,both = 0,,,ok