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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
6840 Views

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
5844 Views

How do you solve the equation e^2x - 2e^x - 3 = 0 ?

This is a 'quadratic in e^x'. The easiest way to recognise this when starting problems like this is to let y=e^x. As you practice problems like this, you will find yourself moving away from this step. But it...
LC
Answered by Lewis C. • Maths tutor
16170 Views

How do you simplify something of the form Acos(x) + Bsin(x) ?

This sort of question is quite common, and a little bit complicated, so the explanation is quite long! But it's a great one to understand. There are a few tricks you need to know to be able to do it. The fir...
JM
Answered by Jack M. • Maths tutor
16233 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
3556 Views