For any real number k, the graph of y = 7x^2 + kx - 8k + 3x^2 - 4x + 2 passes through a fixed point (a,b) Find (a,b).
+2666 We can simplify the equation to: \(y = 10x^2 + kx- 4x - 8k + 2 \)
Subsituting in \(k = 1 \) gives: \(y = 10x^2 - 3x - 6 \)
Subsituting in \(k = 2 \) gives: \(y = 10x^2 - 2x - 14\)
Now, we have to solve this system for x and y, which are a and b respectively.
Can you take it from here?
