exam Maths Puzzle Numerical Ability

Solve:

2sinx+2cosx=sqrt2

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exam Other Question

In triangle ABC A=35 degrees, a=43 and c=20. Determine whether triangle ABC has no solution, one solution, or two solutions. Then solve the triangle. Round to the nearest tenth. Solve for x:
a) 3^x-(4(sqrt3)^x)+3=0
b) 2(^x)-(12(sqrt2)^x)+32=0
c)(27(3)^x)-(12(sqrt3)^x)+1=0
d) 4(2^x)-33(sqrt2)^x)+8=0
Can someone please show me the steps?