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Applications of quadratic equations
Suppose a rectangle has an area of 90m
^{2}
and the sides are x+1 and x+2. Find the dimensions of the rectangle.
(x+1)·(x+2)=90
x
^{2}
+3x+2=90
x
^{2}
+3x-88=0
(x+11)·(x-8)=0
x+11=0; x=-11
x-8=0; x=8
The sides are 9m and 10m long.
A person spent 360 euros to buy several objects. If each object had been 4 cheaper he or she could have bought 3more. How many object does he or she buy? What is the price of each object?
He or she buys
objects at
euros each.