How do yo solve 2Cos^2(x) - 2sen(x) + 12 = 0 ?
1 Answer
Mar 5, 2018
See explanation
Explanation:
We want to solve the equation
2cos^2(x)-2sin(x)+12=0
Use
2(1-sin^2(x))-2sin(x)+12=0
Simplify
-2sin^2(x)-2sin(x)+14=0
=>sin^2(x)+sin(x)-7=0
Let
u^2+u-7=0
=>u=(-1+-sqrt(29))/2
=>sin(x)=(-1+-sqrt(29))/2
So the equation have no solutions within the real numbers
because