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    Finding Ordered pair question

    Hey, thanks for the help. So after this step, do we use trial and error to find the correct solution. I am getting one ordered pair, (9,9), and (-9,-7) after all the math(since x, and y can only be integers). I would really appreciate it if you could confirm this. Thank you
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    Solve the equation

    Homework Statement Hello, I'm having some trouble with the following problem: Solve y = x+\frac{1}{x} for 0 < x \leq 1 Homework Equations y = x+\frac{1}{x} for 0 < x \leq 1 The Attempt at a Solution I am not sure on how to start. I've spent a lot of time thinking about how to...
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    Finding Ordered pair question

    Homework Statement Please find all ordered pairs of integers (x,y) such that x2 + 2x + 18 = y2 Homework Equations x2 + 2x + 18 = y2 The Attempt at a Solution Im not sure on how to begin. I tried square-rooting the expression, to solve for y, turning it into y = \sqrt{x + 2x + 18}. I would...
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    Trigonometric equations question

    Yes, this is precisely where I'm stuck. I'm not sure on how to proceed after this step.
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    Trigonometric equations question

    Yeah, sorry, my mistake I did actually try tan x = \frac{cos x}{sin x}, and tried to solve for a common denominator, cos (x), but am still very confused.
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    Trigonometric equations question

    Homework Statement Solve for x for 0\leq x\leq 2 \pi in the following equation: sin x tan x + tan x - 2sinx + cos x =0 Homework Equations N/A The Attempt at a Solution I tried making tan x = \frac{cos x}{sin x}, but did not have any luck, and am very confused on how to solve the...
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