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The equation x^2 + 3px + p = 0, where p is a non-zero constant, has equal roots. Find the value of p.

Firstly, we need to recognise that the question stated that the quadratic equation has equal roots . This tells us that the discriminant of the equation (b^2 - 4ac) will be an important part of the solution....
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Answered by Emmanuel B. • Maths tutor
24866 Views

complete the square of x^2 + 2x - 6

There is always a systematic approach to answering questions that require you to complete the square. Before you start answering the question make sure the coefficient of x^2 is 1 . For this particular examp...
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Answered by Viroshan G. • Maths tutor
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Describe the set of transformations that will transformthe curve y=x^ to the curve y=x^2 + 4x - 1

First complete the square on the curve in the answer to obtain y=(x+2) 2 - 5 Now if you were to call your original equation y=f(x) you could see that the new equation is simply y=f(x+2) - 5This is now just a...
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Answered by Shavon D. • Maths tutor
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Differentiate y=(x^2 + 2x)cos(3x)

Here we need to use the product rule in order to differentiate as we have two functions involved that are being multiplied together. Therefore we use the formula:dy/dx = u dv/dx + v du/dxFirst let u=(x^2 + 2...
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Answered by Katie B. • Maths tutor
4193 Views

Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x 2 +6x +11this is a quadratic so we try to factorise it. x 2 +6x can be turned into (x+3) 2 -9 and we plus the 11 from the beginning so the final answer should look like (x+3) 2 +2 and thus p=3 and q=2.
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Answered by Abdullahi M. • Maths tutor
5690 Views