Question

find the equilibrium point of S(x)=3x^2-3x+38 and D(x)= 56-6x

Answer 1

when supply = demand

Answer 2

it might be easier to subtract D(x) from S(x) and solve the quadratic

Answer 3

S(x)=3x^2-3x + 38
- D(x)= (-6x + 56)
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3x^2 +3x -18 = 0

3(x^2 +x -6) = 0

Answer 4

3(2) = 6

+x means +3-2

x=-(3,-2)
= (-3,2)

Answer 5

since the - is prolly a spurious result and undoable in real life; id go x=2

Answer 6

since 44=44 id say its good