I'm helping my friend with her maths and the question is

"What two numbers add together to make 14, but when multiplied make 32?"

I can't for the life of me work it out, even by looking at the factors of 32 and adding everything possible to make 14...

Do you reckon it's a mistake and is meant nto say 33? (11 + 3 = 14) (11 x 3 = 33)

"What two numbers add together to make 14, but when multiplied make 32?"

I can't for the life of me work it out, even by looking at the factors of 32 and adding everything possible to make 14...

Do you reckon it's a mistake and is meant nto say 33? (11 + 3 = 14) (11 x 3 = 33)

Options

## All Comments

(38) Jump to unreadPost a comment:D

i'm sure it works you just have to be more precise with the decimal points. It's pretty easy if you aren't as tired as I am. :)

Well it's not likely to be based on whole numbers then. That's more for your 7 year old :lol:

It's late - do you think I'm gonna go into fractions?:w00t:

I curse microsoft for not including Qbasic in their product any more PMSL.

Second attempt

x+y = 14 and x*y = 32

so

x = 14 - y

so (14-y)*y=32

14y -y^2 = 32

-y^2 +14y - 32 = 0

Using this maths website http://www.math.com/students/calculators/source/quadratic.htm Here's the result

2.8768943743823394

11.123105625617661

add together = 18

2x16=32

ur a beast, ur not vorderman are u? :-D

2x16=32

-2 and 2 are not the same numbers ;-)

t0mm its 2am ide go with jasons - lol

Second attempt

x+y = 14 and x*y = 32

so

x = 14 - y

so (14-y)*y=32

14y -y^2 = 32

-y^2 +14y - 32 = 0

Using this maths website http://www.math.com/students/calculators/source/quadratic.htm Here's the result

2.8768943743823394

11.123105625617661

And of course knowing this will really set you up in later life. I lose count of the times I need to know this stuff every day :giggle::w00t::whistling:

I've asked Santa for a life for Christmas as me doing that at gone two in the morning is really sad. :)

i got x and y right though:whistling::p

I actually started an emulator on my xbox to try and work it out. Had to give up though as I couldn't find the + key :?

Perhaps not when you're buying your shopping, but enter any sort of analytical field and yes, that sort of thing is very important.

One number is 33/14

The 2nd is (32x14)/33

God, 34 and I still remember this!!! And im still scarred by 5 years of french!!!

Pretty useless to most people then. Unless you have a morbid fascination of such things (I do :lol:)

One number is 33/14

The 2nd is (32x14)/33

God, 34 and I still remember this!!! And im still scarred by 5 years of french!!!

Your first error was the introduction of the number 33.

Is it possible to convert a decimal aspect ratio (ie 1.33:1) to integer form without adding it to itself x amount of times? Looking for a quick lazy solution. For example, try converting 1.37:1 using the addition method and you'll see why I ask :lol:

.

Perhaps having the attitude that it is useless to most people is the reason why most people make it useless as a consequence. Personally it set me up for life.

:-D:-D:-D

2x16=32

yehh but it would be -2 x 16 and that = -32

ab = 87

its a system of equations. to solve, find what one number is in terms of the other number. So, using the equation a + b = 36, you can solve for either number, i'll choose b.

36 - a = b

then you substitue 36 - a for the b in the 2nd equation.

(36 - a)a = 87

then solve.

36a - a^2 = 87

0 = a^2 -36a +87

i guess you have to use the quadratic formula because there is no 2 numbers that multiply to equal 87 and add to equal 36.

[36 +/- sq. root (1296- 4 x 87)]/2

36 +/- sq. root (948)

[36 +/- 2 times sq root (237)]/2

18 + sq. root (237) and 18 - sq. root (237) are the only answers.

this means that the two numbers are 18 - sq. root (237) which is 2.605 and 18 + sq. root (237) which is 33.395. those add to equal 36 and multiply to equal 87.

ab = 87

its a system of equations. to solve, find what one number is in terms of the other number. So, using the equation a + b = 36, you can solve for either number, i'll choose b.

36 - a = b

then you substitue 36 - a for the b in the 2nd equation.

(36 - a)a = 87

then solve.

36a - a^2 = 87

0 = a^2 -36a +87

i guess you have to use the quadratic formula because there is no 2 numbers that multiply to equal 87 and add to equal 36.

[36 +/- sq. root (1296- 4 x 87)]/2

36 +/- sq. root (948)

[36 +/- 2 times sq root (237)]/2

18 + sq. root (237) and 18 - sq. root (237) are the only answers.

this means that the two numbers are 18 - sq. root (237) which is 2.605 and 18 + sq. root (237) which is 33.395. those add to equal 36 and multiply to equal 87.

[COLOR="RoyalBlue"]

I think its bang out of order the second person here copied your answer gerbil. They didnt even have the cheek to change a single word!

I'd sue 'em if I were you.[/COLOR]

ab = 87

its a system of equations. to solve, find what one number is in terms of the other number. So, using the equation a + b = 36, you can solve for either number, i'll choose b.

36 - a = b

then you substitue 36 - a for the b in the 2nd equation.

(36 - a)a = 87

then solve.

36a - a^2 = 87

0 = a^2 -36a +87

i guess you have to use the quadratic formula because there is no 2 numbers that multiply to equal 87 and add to equal 36.

[36 +/- sq. root (1296- 4 x 87)]/2

36 +/- sq. root (948)

[36 +/- 2 times sq root (237)]/2

18 + sq. root (237) and 18 - sq. root (237) are the only answers.

this means that the two numbers are 18 - sq. root (237) which is 2.605 and 18 + sq. root (237) which is 33.395. those add to equal 36 and multiply to equal 87.

BG1 - Who set this question? It doesn't related to this post nor any of the replies? It's thrown me as to why you've added it here.