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when a quadratic equation isn't able to be solved using factorisation, the quadratic formula can be used, which has the general formula of ** **. The letters in the formula represent the coefficients in t...

Multiply out brackets
x² = 4(x² - 6x + 9)x² = 4x² - 24x + 36
Minus x² from both sides 3x² -24x + 36 = 0
Divide equation by ...

These are a pair of simultaneous equations.First, we can equate two of the coefficients in each equation (let's choose x) by multiplying each equation respectively.With our first equation, multiply it by ...

The probability that the first sweet is orange is 6/n, as 6 of the n number of sweets are orange. After an orange sweet is eaten, there are 5 orange sweets left and n-1 total sweets in the bag. This means...

The general form of factorising is that if we have ab+ac, we can rewrite this as a(b+c). We multiply each statement inside the bracket by a. So we’re effectively ripping out common terms. We are dividing ...