Question

One of the roots of the equation x^2 +4x = \frac{2k+1}{2} is three times the other root. Find the value of k. (4 marks)

**Answer**

Hi weiling, apologies for the late reply, for this question the first step we need to do is move \frac{2k+1}{2} to the LHS of the equation so that the RHS is 0 and we get a quadratic equation in the form of ax^2 + bx +c=0.

x^2 +4x - \frac{2k+1}{2}=0

Since one of the roots is 3 times the other root, we can let our root be \alpha, 3\alpha (basically you can use any symbol but x or k)

Here’s another similar method that will lead to the same answer:

Hope this helps!