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Maths
GCSE

Solve "x^2 - 12x - 45 = 0" by completing the square

The equation is of the formx2+bx+c=0This means it can be rearranged to(x+(b/2))2=(b/2)2-cTaking the square root of both sides leaves us with x.
x2-12x-45=0...

EJ
Answered by Elsa J. Maths tutor
6087 Views

How do I expand (x-2)(3x+3) into a quadratic?

The expansion of two brackets containing two terms each is a little more complicated than expanding say, x(3x+3). There is a process to follow for these questions. First, just look at the x term in the fi...

WP
Answered by William P. Maths tutor
3812 Views

Work out ∛16 as a power of two. (AQA GCSE Higher paper 2017, Q24b)

When you're working with fractional indices, I find the following rhyme really useful:"Fractional indices are like a flower: the bottom's the root, the top's the power".We have a cube root <...

RD
Answered by Ruth D. Maths tutor
19189 Views

Two apples and three bananas cost a total of £1.30. Seven apples and one banana cost a total of £1.70. Find the cost of a) one apple and b) one banana.

First, look at the key information from the question and form an equation for each of the first two sentences. These equations are as follows (let a represent the number of apples and b represent the numb...

JS
Answered by James S. Maths tutor
15318 Views

Solve for x and y: 2x +5y + 5= 0 , 2y + 31= 5x

For a question like this you should aim to eliminate either x OR y from one equation in order to deduce the value of the other. 1) 2x +5y + 5= 0 , 2) 2y + 31= 5x
Rearrange equation 2) so that 2y +31...

TD
Answered by Tutor114325 D. Maths tutor
5055 Views

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