Answer :
Consider the given quadratic equation
2x2 - 9x + 4 = 0
2x2 - x - 8x + 4 = 0
x(2x - 1) - 4(2x - 1) = 0
(x - 4)(2x - 1) = 0
This product becomes zero means that
x - 4 = 0 , 2x - 1 = 0
x = 4 , x = 1/2
verification :
Plug in x = 4 in 2x2 - 9x + 4
2(4)2 - 9(4) + 4 = 0
so , x = 4 is a solution of the equation 2x2 - 9x + 4 = 0
Plug in x = 1/2 in 2x2 - 9x + 4
2(1/2)2 - 9(1/2) + 4 =0
so , x = 1/2 is a solution of the equation 2x2 - 9x + 4 = 0
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