Answer : 9
Explanation:
[tex] {x}^{2} - 36 = 5x[/tex]
Subtracting -5x from both sides,
[tex] {x}^{2} - 5x - 36 = 0[/tex]
Soving this quadratic equation by midterm split method,
[tex] {x}^{2} - 9x + 4x - 36 = 0 \\ \\ x(x - 9) + 4(x - 9) = 0 \\ (x - 9)(x + 4) = 0[/tex]
So the roots here will be, +9 and -4.
Since the question is about only the positive value.
Your answer will be 9.