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Split 1/x^2-1 into partial fractions

First we need to factorise the denominator into (x-1)(x+1). Now we identify that 1/(x-1)(x+1) is equivalent to A/(x-1) + B/(x+1) and now we solve to find the values of A and B. By simplifying the equivalent ...
TM
Answered by Thomas M. • Maths tutor
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Solve x^2-5x+6=0

We can factorise into (x-3)(x-2)=0 to get x=3 and x=2 as solutions for this equation.
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Answered by Thomas M. • Maths tutor
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Simplify the following fraction - Numerator = 2(8-k) + 4(k-1) Denominator = k^2 - 36

The first task is to multiply out the brackets in the numerator. By doing this, we find that the numerator is equivalent to "12 + 2k". We should now simplify the denominator. We can convert it into...
ML
Answered by Matteo L. • Maths tutor
3953 Views

Solve for x: logx(25) = log5(x)

logx(25) = log5(x)2logx(5) = log5(x)2/log5(x) = log5(x)2 = (log5(x))^2sqrt(2) = log5(x)x = 5^sqrt(2)
Answered by • Maths tutor
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a) Find the area of a semi circle with diameter 12cm. b) The area of a semi-circle is 60cm^2. Find the radius of the sem-circle.

a) radius = 12/2 = 6cm. Area of a circle = pi x r^2 = 36pi. Area of semi-circle = 36pi / 2 = 18pi cm^2b) Area of full circle = 120. pi x r^2 = 120. r^2 = 120/pi. r = sqr root (120/pi)= 6.18cm
AG
Answered by Ahmed G. • Maths tutor
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