What is Pythagoras's theorem?

For any right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is the sum of the square of the remaining two sides. 

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How do you factorise a quadratic equation where the coefficient of x^2 isn't 1?


Solve for x: 2x^2 = 5x + 12


Write x² + 4x -16 = 0 in the form (x+a)² - b = 0. Solve the equation giving your answer in surd form as simply as possible.


Solve 3(x-2)=21