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Suppose you have a quadratic equation: x 2 + 5x + 6 You are told it has TWO REAL ROOTS and you are to find them. The factorised quadratic with two roots will look like this: (x+ a )(x+ b ) Where a and b are ...

To solve the equation: (5x+3)/(x) + x = 1, where (x) is the denominator, we have to convert the equation into an equation without any denominators. To do this, we multiply each variable by (x), so the equati...

For a general quadratic equation of the form ax 2 + bx + c = 0 (1) We will solve for x via the ‘Completing the Square‘ method: First we divide equation (1) through by a on both sides, yielding: x 2 +(b/a)x +...

First off, write your equation in the form: ax^ 2 +by+c=0 with a, b and c being your constant coefficients. First, we will factorise out a such that: a(x^ 2 +(b/a)x)+c Now divide b by 2. Then write a(x+(b/2a...

There are different ways of factoring an equation depending on the type. A few are highlighted here: 1) Taking out a common factor General formula : ab + ac = a ( b+ c) Step 1: realise that all terms of the ...