Answer:
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.