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Mathematics & Economics
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Math Problem
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Calculation: Algebra Task (Math Problem Sample)

Instructions:

calculation. solve the problem

source..
Content:

Algebra Task
1 Value of x:
x2+x-12=0
x2+4x-3x-12=0
xx+4-3x+4=0
x-3x+4=0
x=3, x=-4
2 Value of x:
22x-4=64
22x-4=26
2x-4=6
2x=6+4
2x=10
x=5
3 Value of x:
3cosx+2sin2x=0
From trigonometrical identities: sin2x=1-cos2x
Substituting into the equation.
3cosx+21-cos2x=0
3cosx+2-2cos2x=0
2cos2x-3cosx-2=0
Let u=cosx
2u2-3u-2=0
Using the quadratic formula:
u=-b±b2

...
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