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How many real value(s) of \(x\) exist satisfy the equation \[ \left( 5+2\sqrt{6} \right)^{x^2-3}+\left( 5-2\sqrt{6} \right)^{x^2-3}=10 ? \]

A right angles triangle has sides 4 and 3 units. If the right angle is bisected, then find the distance between orthocentres of the smaller triangles.

Try to give a ...

Triangle \(ABC\) has centroid \(G\). Triangles \(ABG\), \(BCG\), and \(CAG\) have centroids \(G_1,G_2,G_3\) respectively.

The value of \(\dfrac{[G_1G_2G_3]}{[ABC]}\) can be represented by \(\dfrac{p}{q}\), for ...

It's easy to figure it out! Just assume x=1 and evaluate the given expression. That's it.

Example: Sum of the coefficients of: ( 3x^2 +4x + 1) ( x ...

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