- #1
Zhalfirin88
- 137
- 0
Homework Statement
Can you guys just check to see if I'm right?
[tex] f(x) = \frac{2x-\sqrt{4x^2-5x+300}}{1} [/tex]
The Attempt at a Solution
[tex] \frac{2x - \sqrt{4x^2-5x+300}}{1} * \frac{2x+ \sqrt{4x^2-5x+300}}{2x+ \sqrt{4x^2-5x+300}}} [/tex][tex] \frac{4x^2 - 4x^2 + 5x - 300}{2x+ \sqrt{4x^2-5x+300}} [/tex]
[tex] \frac{\frac{5x-300}{x}}{\frac{2x+ \sqrt{4x^2-5x+300}}{x}} [/tex]
[tex] \frac{5- \frac{300}{x}}{2 + \sqrt{ \frac{4x^2 - 5x + 300}{x^2}}} [/tex]
[tex] \frac{5 + 0}{2 + \sqrt{ \frac{4x^2}{x^2} - \frac{5x}{x^2} + \frac{300}{x^2}}} [/tex]
[tex] \frac{5}{2 + \sqrt{4 - 0 +0}} [/tex]
[tex] \frac{5}{4} [/tex]
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