\(\frac{5\sqrt{10}}{4}\)
\(4\sqrt{10}\)
\(5\sqrt{10}\)
\(\frac{4\sqrt{10}}{5}\)
Correct answer is D
\(4x^{2} + 5kx + 10 = (2x + \sqrt{10})^{2}\)
Expanding the right hand side equation, we have
\(4x^{2} + 4x\sqrt{10} + 10\)
Comparing with the left hand side, we have
\(5k = 4\sqrt{10} \implies k = \frac{4}{5}\sqrt{10}\)
If \(16^{3x} = \frac{1}{4}(32^{x - 1})\), find the value of x....
If (x + 1) is a factor of the polynomial \(x^{3} + px^{2} + x + 6\). Find the value of p....
Given that \(\tan x = \frac{5}{12}\), and \(\tan y = \frac{3}{4}\), Find \(\tan (x + y)\)....
Evaluate \(\int_{-1}^{1} (x + 1)^{2}\mathrm {d} x\). ...
If \(V = \begin{pmatrix} -2 \\ 4 \end{pmatrix}\) and \(U = \begin{pmatrix} ...
If y = (5 - x)\(^{-3}\), and \(\frac{dy}{dx}\)...
Which of the following quadratic curves will not intersect with the x- axis? ...