O-Level Additional Math

[jieheng]

lost boy:

Thank u jieheng can u pls help me another ques


Solve the simultaneous equations.

2x - 5y= 12
3x - 2y = 7

Thanks

2x - 5y= 12 -----(1)
3x - 2y = 7 -----(2)

(1) x3 , 6x - 15y = 36 => 6x = 36 + 15y

(2) x2 , 6x - 4y = 14 => 6x = 14 + 4y

36 + 15y = 14 + 4y
11y = - 22
y = -2

6x = 14 + 4y
6x = 14 + 4(-2)
x= 1

[lost boy]

Thank you Jieheng.

[lost boy]

Pls help me to solve sec 3 a math


Use suitable substituitions to solve each of the following equations.

a) 5^x + 5 = 30(5^x-1)

b) 9^x + 10(3^x) = 3^x+2 + 12

Thanks

[jieheng]

lost boy:

Pls help me to solve sec 3 a math


Use suitable substituitions to solve each of the following equations.

a) 5^x + 5 = 30(5^x-1)

b) 9^x + 10(3^x) = 3^x+2 + 12

Thanks

Pls note the difference between (5^x-1) = (5^x) - 1 and [5^(x-1)]


a)

5^x + 5 = 30[5^(x-1)]

5^x + 5 = 30[(5^x)/5]

5^x + 5 = 6(5^x)

5(5^x) = 5

5^x = 1

x= 0

b)

9^x + 10(3^x) = 3^(x+2) + 12

3^(2x) + 10(3^x) = 3^x * 9 + 12

3^(2x) + 3^x - 12 = 0

Let y = 3^x

y^2 + y -12 = 0

(y + 4)(y - 3) = 0

y = -4 (reject) or y = 3

when y =3

3^x = 3

x = 1

[S-H]

Can somebody help me with this question:-


Differentiate the following, where a, b and c are constant, with respect to x.
ax^2+bx+c / ax^2-bx-c

Thank you very much.

[jieheng]

S-H:

Can somebody help me with this question:-


Differentiate the following, where a, b and c are constant, with respect to x.
ax^2+bx+c / ax^2-bx-c

Thank you very much.

http://i48.tinypic.com/347ywsw.jpg\">

[S-H]

jieheng:

S-H:

Can somebody help me with this question:-


Differentiate the following, where a, b and c are constant, with respect to x.
ax^2+bx+c / ax^2-bx-c

Thank you very much.

http://i48.tinypic.com/347ywsw.jpg\">

:thankyou:

[lost boy]

Thanks Jieheng .

[KiausuLormee]

Hi Jieheng


Can help me to solve this question:

Showing your working clearly, Express 0.368 as a fraction in its lowest terms.
Thanks

[jieheng]

KiausuLormee:

Hi Jieheng


Can help me to solve this question:

Showing your working clearly, Express 0.368 as a fraction in its lowest terms.
Thanks

0.368
=368/1000
=46/125