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Integrate the following fraction w.r.t. x: (sqrt(x^2 + 1)-sqrt(x^2 - 1))/(sqrt(x^4 - 1))

Notice the denominator can be factorised as the difference of two squares. The fraction can then be simplified by cancellation. The resulting fraction(s) can then be solved using the list of integrals in ...

Answered by Tutor80072 D. Maths tutor
3806 Views

Factorise 7x +14

7(x + 2)

Answered by Ajay M. Maths tutor
7421 Views

Solve these 2 equations simultaneously: 7x+y=1 and 2x squared - y=3

7x+y=1 (1)  ->   y= 2x- 3 (3)

7x + 2x-3-1=0 -> (2x-1)(x+4)=0 so 2x-1=0 so 2x=1 so x=0.5 and x+4=0 so x=-4

7(0.5)+y=1 so y=1-3.5 so y=-2.5 and 7(-4) +y=1 so -2...

Answered by Hannah V. Maths tutor
3308 Views

Simplify p^2×p^5

When you multiply two numbers that are the same with different exponents, the number can remain the same and the exponents are added. That is an exponents rule. This means that the answer is p^7

Answered by Sama A. Maths tutor
6572 Views

Express (3 - sqrt(5))^2 in the form m + n*sqrt(5), where m and n are integers.

Layout the problem in a more recognisable form such as (3 - sqrt(5))(3 - sqrt(5)). Notice that this looks a lot like a factorised quadratic equation, where <...

Answered by Anselmo P. Maths tutor
7930 Views

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