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Write the general quadratic equation : ax²+bx+c = 0 Need to solve for 'x' using completing the square method. 1 - Divide through by 'a' in order to get into a form which we can complete the squ...

Find x.2(x+3) + x+4 = 163x + 10 = 16x = 2So: AB = 5cm, BC = 5cm, AC = 6cmThen use '0.5 x base x height' to find area.Base = 6Height use Pythagoras: 5^2 - 3^2 = x^225 - 9 = 16x = 40.5 x 6 x 4 = 12cm^2

56 / 2 = 2828 / 2 = 1414 / 2 = 77 / 7 = 1so, 56 = 2x2x2x7 = 2³x7Example of a non calculator GCSE paper question, higher tier

rationalise the denominator (remove the surds) by multiplying by a fraction = 1, known as the rationalising factor = (24 - √ 300)/(4√ 3 - 5) * (4√ 3 + 5)/(4√ 3 + 5) = (24 - √ 300)(4√ 3 + 5)/(48 - 25) = (2...

x = 6 + y
2(6+y) + y = 18
12+2y+y = 18
3y = 18-12
3y=6
y = 6/3 = 2. So y = 2 if y = 2 then x is = ?
x - y = 6 so, x-2 = 6
so x is 6+ 2 = 8
x = 8 and y = 2<...