# SOLUTION: Question 1: How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex? Question 2: Translate the following i

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Question 1: How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex? Question 2: Translate the following i      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Quadratics: solvers Practice! Answers archive Lessons Word Problems In Depth

 Question 192564: Question 1: How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex? Question 2: Translate the following into a quadratic equation, and solve it: The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions? Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!D=discriminant = : if D>0 2 reals if D=0 1 real if D<0 2 complex roots : let L be the length and W width A=area : A=L*W.........eq 1 L=4W..........eq 2 A=196.........eq 3 : take L's value from eq 2 and A's value from eq 3 and plug them into eq 1 : 196=4W(W) : : divided by 4 : : W=7 : L=4(7)=28