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Factorise and solve x^2 - 8x + 15 = 0.

Whenever faced with a quadratic equation in the form of AX^2 + BX + C = 0, the first thing you do is factorise it, which will look something like this: (X )(X ) = 0.You can see from this that when you multip...
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Answered by Zarmala N. Maths tutor
3896 Views

i) It is given that f(x)=(-5-33x)/((1+x)(1+5x)), express f(x) in the form A/(1+x) + B/(1+5x) where A,B are integers. ii) hence express the integral of f(x) between x=3 and x=0 in the form (p/q)ln4 where p,q are integers.

i) -7/(1+x) + 2/(1+5x) ii) (-31/5)ln4
DT
Answered by Damon T. Maths tutor
4486 Views

find the integral of ((3x-2)/(6x^2-8x+3)) with respect to x between x=2 and x=1. (hint use substitution u=denominator)

(ln11)/4
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Answered by Damon T. Maths tutor
4574 Views

Expand (x-5)(2x-3)

(x-5)(2x-3)= 2x 2 -3x-10x+15 = 2x 2 -13x + 15
SS
Answered by Sharone S. Maths tutor
5660 Views

You are told that the y is proportional to x^2 and that when y=75, x=5. Find a formula for x in terms of y.

If we know that y is proportional to x 2 then we using the given values we can write 75= 5 2 --> 75=25, however this is obviously not true but all that remains is to multiply the 5 2 by 3 which gives us 7...
JP
Answered by Jenieka P. Maths tutor
3649 Views