SOLUTION: Derick wants to make a table which has an area of 10 m². The length of the table must be 3 mlonger than the width. The equation that represent the situation is w(w+3)=10. a. Wi

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Derick wants to make a table which has an area of 10 m². The length of the table must be 3 mlonger than the width. The equation that represent the situation is w(w+3)=10. a. Wi      Log On


   

Question 1185235: Derick wants to make a table which has an area of 10 m². The length of the table must be 3 mlonger than the width. The equation that represent the situation is w(w+3)=10.
a. Without solving it, what should be the value of the discriminant of the equation? Is it positive or negative? Why?
b. Based on the value of the discriminant; how will you describe the dimensions of the table?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
(a) The discriminant, without solving it? Why?
w%5E2%2B3w-10=0
discriminant, 3%5E2-4%2A%28-10%29=9%2B40=highlight%2849%29, a square integer number.

(b) You already know the dimensions.
2 meter width, 5 meter length.