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Here we have an example of a quadratic equation in terms of x. Start by manipulating the equation until it is equal to 0: subtract 2(x^2) from both sides to get (x^2)+2x-4=3x+8. Then subtract 3x from both...

Step 1: recognise that the common factors of the two terms, 6xy and 3y, are: 3 and y. Step 2: take one common factor, say 3, out of the terms: 3(2xy + y). Step 3: also take the second common factor, y, ou...

root 18 = 3root2root8 = 2root2
Numerator: (3root2+root2)squared = (4root2)squared =32Denominator: 2root2 -2 = 2(1-root2)Simplify both numerator and denominator by dividing by 2 resulting in numerator...

There are two stages to this problem: substituting x into the original equation and then expanding out the answer and simplify it. So, with the first stage, we replace every old 'x' with the new form in t...

Note: sqrt means square root, and * means multiply method (overall aim is to make x the subject): multiply both sides by sqrt(5) to get: 15 * sqrt(x) = 6 * 5further expand the right hand sid...