what is the positive solution of x² - 36 = 5x?

Explanation:

Step1: Rearrange to quadratic - form

$x^{2}-5x - 36=0$

Step2: Factor the quadratic equation

We need to find two numbers that multiply to - 36 and add up to - 5. The numbers are - 9 and 4. So, $(x - 9)(x+4)=0$.

Step3: Solve for x

Set each factor equal to zero: $x - 9=0$ gives $x = 9$; $x + 4=0$ gives $x=-4$.

Answer:

9