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This question requires you to work through methodically in stages. We want two numbers, a and b, which fit into brackets of the form: (x + a)(x + b). By doing this, we have simplified the expression throu...

Find an expression for y
y = 3 - x
sub this into the second equation
x^2 + (3 - x)^2 = 5
then expand the brackets
x^2 + x^2 - 6x + 9 = 5
simplify
2(x^2 - 3x + 2) = 0<...

£29.40 represents 4/5 of xThus to find x, we must multiply 29.40 by 5/4:
29.40/4 = 7.35 (this is 1/5) 7.35 x 5 = 36.75 (this is 5/5, the original price)
Original price = £36.75

There are several ways to work out percentages. First however we have to determine 60% of 400 before we subtract it. So an easy way to do this is work out 10% of 400, which is 40 as we just divide 400 by ...

First, we need to find the value of x. The perimeter of a shape is the sum of the length of all of its sides, so the perimeter of this isosceles is x + 4 + 2(x + 3) = x + 4 + 2x + 6 = 3x +10. We are told ...