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- Solve a quadratic equation using square roots.
(Worksheet)
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(Worksheet)
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(Worksheet)
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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.
Find the length of all the sides of a right-angled triangle which has a perimeter of 72 cm and in which the sum of two of its sides is 42 cm.
The hypoteneuse is
cm, the biggest side is
cm and the smaller side is
cm