Thank you, Kenneth Tutor.
Can you help me with another question, Please?
Thank you.
OLevel Additional Math
PSLE marks the graduation of Primary school students and their entry into Secondary schools as teenagers. Discuss all issues about Secondary schooling here.
Re: OLevel Additional Math
by KSP2013777 » Sat May 21, 2016 2:37 pm

KSP2013777  OrangeBelt
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Re: OLevel Additional Math
by questionable_i » Sat May 21, 2016 5:36 pm
Can anyone help me? in advance.
Q1) A function f is defined by f(x)=x^23x. Find the values of x for which f(x)=x3.
Q2) Find the xcoordinates of the points of intersection of the curve y=16x^2 and the line y=33.
Q3) Find the xcoordinates of all the points at which the graph of y=x^295 meets the xaxis.
Q1) A function f is defined by f(x)=x^23x. Find the values of x for which f(x)=x3.
Q2) Find the xcoordinates of the points of intersection of the curve y=16x^2 and the line y=33.
Q3) Find the xcoordinates of all the points at which the graph of y=x^295 meets the xaxis.

questionable_i  BrownBelt
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Re: OLevel Additional Math
by kennethTutor » Sun May 22, 2016 6:51 pm
KSP2013777 wrote:Thank you, Kenneth Tutor.
Can you help me with another question, Please?
Thank you.
The fraction is an improper fraction, since the degree of the numerator is 4 while the degree of the denominator is 3.
Perform long division first. You obtain x + (9  3x^2)/(x^3 + 3x)
Finally perform partial fraction decomposition on (9  3x^2)/(x^3 + 3x)
Final ans should be: x + 3/x  6x/(x^2 + 3)

kennethTutor  OrangeBelt
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Re: OLevel Additional Math
by kennethTutor » Sun May 22, 2016 7:34 pm
questionable_i wrote:Can anyone help me? in advance.
Q1) A function f is defined by f(x)=x^23x. Find the values of x for which f(x)=x3.
Q2) Find the xcoordinates of the points of intersection of the curve y=16x^2 and the line y=33.
Q3) Find the xcoordinates of all the points at which the graph of y=x^295 meets the xaxis.
For Q1, first we sub one equation into another.
x^2  3x = x  3
For modulus, there is the positive and negative side.
For the positive (and removing the modulus),
x^2  3x = x  3
x^2  4x + 3 = 0
(x  3)(x  1) = 0
x = 3 or x = 1
For the negative,
x^2  3x = (x  3)
x^2  3x = x + 3
x^2  2x  3 = 0
(x  3)(x + 1) = 0
x = 3 or x = 1
So the values of x are: 1, 1 or 3
You can use the same approach for Q2 and Q3. For Q3, the equation of xaxis is y = 0.

kennethTutor  OrangeBelt
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Re: OLevel Additional Math
by KSP2013777 » Mon May 23, 2016 8:30 pm
Please, can somebody help me solve this question?
Is it tangent to curve means Discriminant =0? But how to use Discriminant if there is ln x? Please help. Thank you
Is it tangent to curve means Discriminant =0? But how to use Discriminant if there is ln x? Please help. Thank you

KSP2013777  OrangeBelt
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Re: OLevel Additional Math
by PiggyLalala » Mon May 23, 2016 8:39 pm
KSP2013777 wrote:Please, can somebody help me solve this question?
Is it tangent to curve means Discriminant =0? But how to use Discriminant if there is ln x? Please help. Thank you
this question is not about discriminant = 0. Always remember, discriminant is only for quadratic equation. This is a differentiation question.
So differentiatate and set dy/dx = gradient of the tangent. Find x. Then the y coordinate. Lastly the value of k. Give it a try. 加油。。

PiggyLalala  KiasuGrandMaster
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Re: OLevel Additional Math
by KSP2013777 » Tue May 24, 2016 9:29 am
Thank you, piggy lalala. Can get my answer now.

KSP2013777  OrangeBelt
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Re: OLevel Additional Math
by KSP2013777 » Thu Jun 02, 2016 9:25 pm
I need help for this question. Can somebody please help me.
Thank you.
Thank you.

KSP2013777  OrangeBelt
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Re: OLevel Additional Math
by questionable_i » Sat Jun 04, 2016 7:50 pm
Can anyone help me with this question? Thank you.
1) By expressing each of the following equations in the form a^x=b where a and b are real numbers, take logarithms to solve for x.
(a) 2^(x+1)=3^x
(b)
1) By expressing each of the following equations in the form a^x=b where a and b are real numbers, take logarithms to solve for x.
(a) 2^(x+1)=3^x
(b)

questionable_i  BrownBelt
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Re: OLevel Additional Math
by PiggyLalala » Sun Jun 05, 2016 10:02 am
KSP2013777 wrote:I need help for this question. Can somebody please help me.
Thank you.

PiggyLalala  KiasuGrandMaster
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