# Any Maths people around - need to find where two lines cross

Doing my maths homework & have got a problem, I know the question (obviously) & also the answer, but I just cant work out how to get from the question to the answer...

The question is an intergration question but first I need to find where the lines...

y = 2x & y = x ^ 0.5 (thats square root of x but I cant do the sign on here)

Anyway, this is what I did...

2x = x ^ 0.5

2 = x ^ 0.5 / x ^ 1 (thats a division sign by the way if it isnt clear)

2 = x ^ -0.5 (sure when dividing you subtract the powers so I get negative 0.5)

Now I get stuck, I need x on its own & know the answer is x = 0.25 as I have plotted it on a graph on the computer.

So I could just do it from that but its really bugging me & I want to know how I get from....

2 = x ^ -0.5 to 0.25 = x (assuming I have gone about it the correct way)

Any help would be really appreciated as I would like to get it finished, also I am hoping to do a maths degree so I need all the knowlage I can get!

Thanks alot

James

The question is an intergration question but first I need to find where the lines...

y = 2x & y = x ^ 0.5 (thats square root of x but I cant do the sign on here)

Anyway, this is what I did...

2x = x ^ 0.5

2 = x ^ 0.5 / x ^ 1 (thats a division sign by the way if it isnt clear)

2 = x ^ -0.5 (sure when dividing you subtract the powers so I get negative 0.5)

Now I get stuck, I need x on its own & know the answer is x = 0.25 as I have plotted it on a graph on the computer.

So I could just do it from that but its really bugging me & I want to know how I get from....

2 = x ^ -0.5 to 0.25 = x (assuming I have gone about it the correct way)

Any help would be really appreciated as I would like to get it finished, also I am hoping to do a maths degree so I need all the knowlage I can get!

Thanks alot

James

sigh

Original Poster

This means you can then re-arrange to give x^0.5 = 1/2

x^0.5 is the same as square rooting, and the square root of 0.25 is 0.5.

Et voila.

Original Poster

I didnt think to use the reciprical (one over x ^ 0.5) as I thought I would need x on its own rather than back into another fraction.

Makes sense now though, thanks alot!

Original Poster

A physics teacher, keep your eyes peeled for my next lot of homework then haha!

Been enjoying Physics at AS Level, miles harder than GCSE (somehow got 100% in that, only understood it when I started revising for the exam)

Our January Exam went OK, it was about Particles & Quantum Radiation (may have got slightly mixed up) and Electricity.

Currently doing the Mechanics, Waves, & forces at the moment for out June Exam, I am finding the forces really interesting, we are doing things such as SUVAT, moments, torque etc. Quite hard to get your head around alot of it though, struggling with some but going to start going to the Workshops after college as I really want to get an A in it! :thumbsup:

I'm still wondering which day to choose for mine

does it matter? when you're old (and you are) everydays the same :p:w00t:

Original Poster

I agree, really helpful, tried phoning some friends but they had given up on this question :thumbsup:

old? ...... OLD!! :w00t: ... ........................ ... spose' not

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cheeky menstrual man :roll:

what can I say...... i'm a cheeky lil chappie

:thumbsup:

y=2

x=0.5

then when you / x ^ 1 = tree.fiddy