Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\) ...
Given that \(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\)
= x + y\(\sqrt{15}\), find the value of (x + y)
1\(\frac{3}{5}\)
1\(\frac{2}{5}\)
1\(\frac{1}{5}\)
\(\frac{1}{5}\)
Correct answer is C
\(\frac{\sqrt{3} + \sqrt{5}}{\sqrt{5}}\) = x + y\(\sqrt{15}\)
cross multiply to have: \(\sqrt{3}\) + \(\sqrt{5}\) = x\(\sqrt{5}\) + 5y\(\sqrt{3}\)
Collect like roots : x\(\sqrt{5}\) = \(\sqrt{5}\) → x = 1
5y\(\sqrt{3}\) = \(\sqrt{3}\) → y = \(\frac{1}{5}\)
∴ ( x + y ) = 1 + \(\frac{1}{5}\)
= 1\(\frac{1}{5}\)
A ladder 9m long leans against a vertical wall, making an angle of 64° with the horizontal ...
A man travels at a rate of 25m/sec. If he travels for 10½hrs, how many kilometres has he cove...
Use the graph of the curve y = f(x)to solve the inequality f(x) \(\leq\) 0...
PQ is parallel to RS. Calculate the value of x. ...
If y = x Sin x, find \(\frac{dy}{dx}\) when x = \(\frac{\pi}{2}\)...
The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is ...