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These are simultaneous equations. To solve them, we need to do something to these equations to that either the coefficents of x or y are the same. So multiply each equation by a suitable number,  a good c...

Solution: x=4. This can be shown by factorisation or applying the quadratic formula.

Pythagoras theorem works to find out an unknown side length of a right angles triangle (RAT) knowing the other two lengths. A RAT has 3 sides called a hypotenuse (longest side), and two smaller sides. We ...

Firstly, you must factorise the quadratic equation on the numerator of the fraction. Observe that the x^2 has a coefficient of 2 and the term with no x terms is 3. 3 can only be factorised by 1 and 3. Als...

The answer should be 2x³ + 11x² +13x - 5

Remeber to multipy both brackets together, and collect like terms.  (Watch out for the minus sign)