Answer:
Other solution of the equation is x = 5
Step-by-step explanation:
Given Quadratic Equation,
![x^2-2x-15=0](https://tex.z-dn.net/?f=x%5E2-2x-15%3D0)
One of the solution of the given quadratic equation is x = -3
To find: 2nd solution of the equation.
We solve the given equation using middle term split method.
Consider,
![x^2-2x-15=0](https://tex.z-dn.net/?f=x%5E2-2x-15%3D0)
![x^2-5x+3x-15=0](https://tex.z-dn.net/?f=x%5E2-5x%2B3x-15%3D0)
x ( x - 5 ) + 3 ( x - 5 ) = 0
( x - 5 )( x + 3 ) = 0
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = -3
Therefore, Other solution of the equation is x = 5