Question

A rectangular plot has an area of
$5a {}^{2} + 17a + 6$
square units . find its sides ?

Answer 1

5a^2+17a+6
a=5, b=17 and c= 6
a= -b+/- root b^2-4ac/2a
= -17+/- root (17)^2-4(5)(6)/2(5)
= -17+/- root [289-120]/10
= -17+/- root [169]/10
= -17+/- 13/10, root 169=13
a= -17+13/10
= -170+13/10, cross multiplying by 17 and 10
= -157/10
= -15.7
OR
a= -17-13/10
= -30/10
= -3
But the sides cannot be negative
Therefore the sides of the rectangular plot is 15.7 and 3.
Hope you got it :)
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