3.64: Value of aa for a tangent line to a curve

0606/21/O/N/23 — Question 6 · 6 marks

Find the value of the constant aa for which the line y=(2a+1)x10y = (2a + 1)x - 10 is a tangent to the curve y=ax25x+2y = ax^{2} - 5x + 2.
[6]