Answer: x = ⅓ or 5
Explanation:
From the quadratic equation, we are asked to find the root of the equation. Therefore, we may use any of the methods.
Here I am using grouping method.
3x² - 16x + 15 = 0
3x² - 15x -x + 15 = 0, we now factorize
3x( x - 5 ) - ( x - 5 ) = 0, we now collect like terms.
( 3x - 1 )( x - 5 ) = 0
Now to find x, we equate each in brackets to zero and then solve.
3x - 1 = 0
x = ⅓ , and if
x - 5 = 0
x = 5, .
Now , the solution of the equation will be
x = ⅓ or 5