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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 f…

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.