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What are the possible value(s) of x for the following: x^2 + 3x - 54 = 0

It is a quadratic equation and when factorised will be of the form (x +/- a) (x +/- b) = 0. We need to find 2 numbers, a and b, that add together to make the 3 for the 3x term and which are multiplied togeth...
KG
Answered by Kate G. • Maths tutor
5957 Views

Bob lives 2km away from Alice and the school is 1km away from Bob. Alice sets off to meet Bob at 8am and she meets him at 8:15 and they carry on walking at the same pace. School starts at 8:20. Do they get to school on time? How early/late are they?

Many pupils struggle when maths questions that are given in a very wordy format. I feel these types of questions can be the most useful in testing mathematical concepts that the pupils have picked up in less...
MK
Answered by Marcin K. • Maths tutor
4633 Views

What is completing the square and how do you do it?

Completing the square is just another way of solving a quadratic equation; It is useful if you cannot factorise the equation. When completing the square you want to end up with your equation in the format: (...
AA
Answered by Alexander A. • Maths tutor
4497 Views

Find the possible values of x when x^2+8x+15=0

In order to find the value of x we can first factorise the equation. To factorise a quadratic we put it in the form:(x+a)(x+b)=0When multiplying out this general term we get:x^2 + bx + ax + ab = 0This can be...
CB
Answered by Clare B. • Maths tutor
4578 Views

Find the nth term of the sequence 7,11,15,19...

The nth term is a formula that allows us to find the value of a term in a sequence given its position in the sequence, whether this is the second term (n=2) or the millionth (n=1000000). In the above sequenc...
JB
Answered by Joe B. • Maths tutor
58088 Views