Given that the equation, x² - kx + 5 = 0, k>0 has equal roots. Find the value of k in the form a√b where a and b are integers. (4)can anyone please give me a step by step tutorial on how to solve this question. Thank you
Given that it has equal roots, you should know that the discriminant; b^2 - 4ac, is equal to 0.
Quadratics are in the form ax^2 + bx + c = 0, so in this case we have a=1, b=-k and c=5. Therefore using our equation:
(-k)^2 - 4(1)(5) = 0
k^2 - 20 = 0
k^2 = 20
k = root20
k = 2root5
Oh I just found it difficult due to the wording in the question, but thank you very much now i understand the concept. I appreciate you giving me a step by step solution on how to solve this problem