Question

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

Answer 1

Hello :
x² – 36 = 5x
x² - 5x -36 = 0
delta = (-5)²-4(1)(-36) = 169 = 13²
the positive solution is x = (5+13)/2 = 9

Answer 2

Required positive solution of the given quadratic equation is 9.

Explanation:

Given Equation,

x² - 36 = 5x

We need to find positive solution of the given equation.

We solve the given quadratic equation using middle term split method.

x² - 36 = 5x

x² - 5x - 36 = 0

x² - 9x + 4x - 36 = 0

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

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

x - 9 = 0 and x + 4 = 0

x = 9 and x = -4

Therefore, Required positive solution of the given quadratic equation is 9.