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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.
An athlete walks 24 km at an unspecified time. If he were to walk 1 km per hour faster he would take 2 hour less to cover the same distance. How long does he spend walking?
He walks during
hours