Question
Find the value of

$(2+\sqrt{5})^5+(2-\sqrt{5})^5$

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Find a point on the x-axis, which is equidistant from the point (7, 6) and (3, 4).
A person observes the angle of elevation of the peak of a hill from a station to be $\alpha.$ He walks c metres along a slope inclined at an angle $\beta$ and finds the angle of elevation of the peak of the hill to be $\gamma.$ Show that the height of the peak above the ground is $\frac{\text{c}\sin\alpha\sin(\gamma-\beta)}{(\sin\gamma-\alpha)}.$
The circle $x^2 + y^2 - 2x - 2y + 1 = 0$ is rolled along the positive direction of $x-$axis and makes one complete roll. Find its equation in new-position.
Evaluate $\left|\begin{array}{ccc}2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7\end{array}\right|$ and cofactors of elements in the $2^{nd}$ determinant and verify:
$i. -a_{21} \cdot M_{21}+a_{22} \cdot M_{22}-a_{23} \cdot M_{23}=$ value of $A a_{21} \cdot C_{21}+a_{22} \cdot C_{22}+a_{23} \cdot C_{23}-$ value of $A$ where $M_{21}, M_{22}, M_{23}$ are minors of $a_{21}, a_{22}, a_{23}$ and $C_{21}, C_{22}, C_{23}$ are cofactors of $a_{21}, a_{22}, a_{23}$.
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{3\sin\text{x}-\sin3\text{x}}{\text{x}^3}$
Find the equation of an ellipse whose axes lie along coordinate axes and which passes through (4, 3) and (-1, 4).
What are the points on X-axis whose perpendicular distance from the straight line $\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1$ is a?
Find mean, variance and S.D. of the following data.

Image

If a, b, c are in A.P., prove that the straight lines ax + 2y + 1 = 0, bx + 3y + 1 = 0 and cx + 4y + 1 = 0 are concurrent.
Find the coording of the centre of the circle inscribed in a triangle whose vertics are (-36, 7), (20, 7) and (0, -8).