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Using the general complete the square formula, where x²+bx+c=0 becomes (a+b/2)²+b²+c=0, we get (x+7)²-7²-1=0 This can be rearranged to show that (x+7...

By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 4...

We have one linear and one quadratic equation here. Since we have a quadratic, we will have two sets of solutions. Let's solve by substitution. Substitute equation (1) into equation (2), which yields:x + ...

In order to compare the prices of each of these brands of rice, we will work out how much it costs to buy 100g of each brand - by using a consistent weight we can measure the prices against each other. Th...

(y+1)²= 4. The power of two becomes a square root on the other side. Don't forget that this is plus or minus the square root of 4. Now we have y+1 = +- sqrt(4). We now have two equations to sol...