Respuesta :

linamerlo25
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:

The positive solution is x=9

Step-by-step explanation:

Given the equation

[tex]x^2-36=5x[/tex]

we have to find the positive solution of above equation.

[tex]Equation: x^2-5x-36=0[/tex]

By splitting middle-term method

[tex]x^2-5x-36=0[/tex]

[tex]x^2-9x+4x-36=0[/tex]

[tex]x(x-9)+4(x-9)=0[/tex]

[tex](x+4)(x-9)=0[/tex]

[tex]x+4=0, x-9=0[/tex]

The solution is x=-4 and x=9

Hence, the positive solution is x=9

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