MYTUTOR SUBJECT ANSWERS

244 views

How would you solve (2x+16)/(x+6)(x+7) in partial fractions?

This is a simple partial fraction to solve as the denominator has already been given to you as a factorised quadratic. 

Because the x terms are to the dgree 1 aka x1 we use the form 

(2x+16)/(x+6)(x+7) = A/(x+6) + B/(x+7)

where A and B are coefficients that have no x terms. 

You then multiply out the equation by taking the denominators up top and cancelling. Step by Step this goes:

1: move (x+6) up top to give 

(2x+16)(x+6)/(x+6)(x+7) = A + B(x+6)/(x+7)

we can see this has removed (x+6) from the A term.

2: now do the same for (x+7) to give

(2x+16)(x+6)(x+7)/(x+6)(x+7) = A(x+7) + B(x+6)

we can see on the left hand side that the brackets cancel out giving:

2x+16 = A(x+7) + B(x+6)

But how do we find A, B and x?

Work you way through the x coefficients. 

x0: 16 = 7A +6B

Then we look at x1 (this is the only x used in this example but in others you may have xetc) then:

x1: 2 = A + B

We now have 2 simultaneous equations which can be solved giving us 

A=4

B=-2

Katherine B. A Level Economics tutor, 13 Plus  Maths tutor, GCSE Math...

6 months ago

Answered by Katherine, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

269 SUBJECT SPECIALISTS

£36 /hr

Joe B.

Degree: Mathematics G100 (Bachelors) - Bath University

Subjects offered:Maths, Further Mathematics + 4 more

Maths
Further Mathematics
Economics
.STEP.
.MAT.
-Personal Statements-

“About Me Hi, I'm Joe, a first year mathematics student from Luton studying at Bath University. I am an accomplished mathematician and economist, having achieved A* grades in A Level Maths, Further Maths and Economics in June 2016. As ...”

£22 /hr

Chris S.

Degree: Psychology (Bachelors) - Nottingham University

Subjects offered:Maths, Psychology+ 1 more

Maths
Psychology
-Personal Statements-

“*Over 25 completed MyTutor school tutorials* I am a reliable and enthusiastic maths and psychology tutor.”

£20 /hr

Joseph B.

Degree: Accounting and Finance (Bachelors) - LSE University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
-Personal Statements-

“Previously I have found that all pupils learn differently, so need to be taught differently, thus, tailoring my lessons to suit individuals.”

MyTutor guarantee

About the author

Katherine B.

Currently unavailable:

Degree: Economics (Bachelors) - Durham University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Economics

“About Me: I am a Economics student at Durham University. I have always been enthusiastic, engaged and comfortable in economics, maths and physics and hope to pass that on in some way in my tutorials.   I am friendly, patient, and cre...”

MyTutor guarantee

You may also like...

Other A Level Maths questions

What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?

How do you solve an equation by completing the square?

Find the tangent of the following curve, y=xe^x, at x=1 expressing it in the form y=mx+c?

Differentiate y = √(1 + 3x²) with respect to x

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok