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How do I solve a simultaneous equation?

In a simultaneous equation, you have tow unknown constants. For example: 2x + y = 18; x − y = 6. To find out the values of each, you first need to find one. You do this by getting one constant on its own on ...
NL
Answered by Nat L. • Maths tutor
3826 Views

Complete the square of 2x^2+16x-24 and hence state the minimum value of the function

2[(x^2+8x-12) [Explain basic complete the square technique]2[(x+4)^2 -16 -12]2[(x+4)^2-28]2(x+4)^2-56The term (x+4)^2 is always greater or equal to 0. So the smallest value it can have is 0. So the minimum v...
JS
Answered by Jake S. • Maths tutor
4452 Views

How do you work out the mean of a set of numbers?

You find the mean of a set of data by adding up all of the values then dividing the number you get by the total numbers in the data. An example of this is: 'Find the mean of '6, 8, 9, 17' -First you add up a...
EM
Answered by Erin M. • Maths tutor
3857 Views

Complete the square for the quadratic expression x^2 − 8x + 7

As the coefficient (the number before) of x 2 is 1 we can start the expression with (x...The coefficient of x is -8 so we half this to complete the brackets and form (x-4) 2 ...Next the square of -4 is subtr...
MB
Answered by Megan B. • Maths tutor
6026 Views

f(x) = (x-5)/(x^2+5x+4), express this in partial fractions and hence find the integral of f(x) dx between x=0 and x=2, giving the answer as a single simplified logarithm.

f(x) = (x - 5) / (x + 4)(x + 1) let f(x) = A / (x + 4) + B / (x + 1) so (x - 5) / (x + 4)(x + 1) = A / (x + 4) + B / (x + 1) then multiplying by (x+4)(x+1), we get x - 5 = A(x + 1) + B(x + 4) x - 5 = Ax + A ...
TS
Answered by Toby S. • Maths tutor
4128 Views