Question

What is the positive solution of x2 – 36 = 5x?

Answer 1

First you would subtract 5x on each side. After that it should look like this:
x2+5x-36=0
Then you factor. You try to find factors of -36 and 5. Once you get that, you would split the two factors up into parenthesis with x. Example: (x-5)(x-4)=0
Then you would put both at 0 and solve from there to get your final answer I know I didn't give you the answer but I hope my explanation helped. :)

Answer 2

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

$x^2-36=5x$

we have to find the positive solution of above equation.

$Equation: x^2-5x-36=0$

By splitting middle-term method

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

$x^2-9x+4x-36=0$

$x(x-9)+4(x-9)=0$

$(x+4)(x-9)=0$

$x+4=0, x-9=0$

The solution is x=-4 and x=9

Hence, the positive solution is x=9