exam Maths Puzzle Numerical Ability

If cotA + cotB + cotC=sqrt3 then prove that the triangle is equilateral.

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exam Other Question

The difference between two positive nubers is 5 and the sum of their squares is 233. What are the numbers? Can someone Please, Please, Please help me solve tis problem by using the Quadratic Formula! I am desperite! Thank You!

Solve by Using the Quadratic Formula:

x^2 - 7x - 1= -7