[tex]p(x) = g(x) \\ = > 2 {ax}^{2} - 4x + 2 = (5 + a) {x}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - 4x + 2 = 5 {x}^{2} + {ax}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - {ax}^{2} - {5x}^{2} - 4x + 4x = 2 - 2 \\ = > {ax}^{2} - 5 {x}^{2} = 0 \\ = > {x}^{2} (a - 5) = 0 \\ = a - 5 = 0 \\ = > a = 5[/tex]
Answer:
a = 5
Hope you could understand.
If you have any query, feel free to ask.
