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How do you solve a quadratic equation? eg: x^2 + 2x - 8

Well, when solving quadratic equations we have two options, either A: factorize the equation and solve or B: Use the '-b' formula. Option A is usually a lot quicker but does require you to practice factor...

Answered by Ahad K. • Maths tutor

2192 Views

Compare and contrast the presentation of guilt in Shakespeare’s ‘Hamlet’, Hosseini’s ‘The Kite Runner’ and William’s ‘The Glass Menagerie’. To what extent is guilt presented as inescapable?

The theme of guilt is central to all three texts; Hamlet is fuelled by the protagonist's guilt at being unable to act and the weight of his knowledge, The Kite Runner follows Amir's sear...

Answered by Amy T. • English tutor

1645 Views

5^a = 1/25, 5^b = 25sqrt(5), 5^c = 1/sqrt(5). What is the value of a + b + c?

Two ways to do it. Manually work them all out: 5^a = 1/25 means a = -2, 5^b=25sqrt(5) means b = 2.5, 5^c= 1/sqrt(5) means c = -0.5. So a + b + c = -2 + 2.5 + 0.5 = 0.
C...

Answered by Connor H. • Maths tutor

2505 Views

Katie wants to buy 4 adult show tickets for £10 each and 2 child show tickets for £3 each. There is a 10% booking fee and 3% is then added for paying by credit card. Work out the total charge for Katie if she pays with a credit card.

Firstly, work out the cost of the tickets without any additional charges.(£10 x 4) + (£3 x 2) = £40 + £6 = £46Now, add on the 10% booking fee. 10 % of £46 = £46 x 0.10 = £4.60New cost = £46 + £4.60 = £50....

Answered by Riana P. • Maths tutor

2110 Views

Solve algebraically the simultaneous equations: (x^2)+(y^2) = 25 , y-3x = 13

Step 1: First rearrange second equation for either x or y (in this example it is easier to make y the subject of the equation: y = 13+3xStep 2: Substitute the expression obtained for y into the first equa...

Answered by Spondan B. • Maths tutor

2165 Views