Question 1 - A-Level Maths

Exam Board	OCR
Module	H240/02 (Pure Mathematics and Statistics)
Year	2018
Session	June
Topic	Quadratic Functions

Express \(2 x ^ { 2 } - 12 x + 23\) in the form \(a ( x + b ) ^ { 2 } + c\).
Use your result to show that the equation \(2 x ^ { 2 } - 12 x + 23 = 0\) has no real roots.
Given that the equation \(2 x ^ { 2 } - 12 x + k = 0\) has repeated roots, find the value of the constant \(k\).