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Factorise the equation x^2 +5x = 6

On first glance, this looks like it is going to be a quadratic equation, so let’s try and put it in the form ax 2 + bx + c = 0 which we can factorize. If we subtract 6 from each side, we end up with x 2 +5x ...
MJ
Answered by Matthew J. Maths tutor
9514 Views

The area of a rectangle is 8cm^2. The rectangle is (3x+1) by (2x+5). Find the value of x

Area of a rectangle is width times height (3x+1)(2x+5)= 6x 2 +15x+2x+5 6x 2 +17x+5 Set formula of area equal to known area value. 6x 2 +17x+5= 8 6x 2 +17x-3 = 0 (6x-1)(x+3)=0 (or use quadratic formula) x=-3 ...
CD
Answered by Conrad D. Maths tutor
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Find the inverse of the following function: g(x) = 4/(3-x)

A function is simply a process that takes in a number, does a few operations on it (for example, add, multiply etc), and then gives out another number. If you want to figure out the inverse of a function, al...
EM
Answered by Eytan M. Maths tutor
5747 Views

How do you complete the square?

Say you start with a general equation of x 2 +ax+b=0. (If the x 2 has a coefficient the you will need to divide by that first.) You need to move to the equation (x+a/2) 2 -(a/2) 2 +b=0. Then put all of the c...
BC
Answered by Bryony C. Maths tutor
3452 Views

How do you factorise?

Factorising is just simplyfying into brackets. To do this you need to find common terms on all the parts of the question. For example: fully factorise 3a 3 b+12a 2 b 2 +9a 5 b 3 the answer to the is 3a 2 b(a...
EW
Answered by Elizabeth W. Maths tutor
7671 Views