Question

Find the roots of the equation 2 x square - 5 x + 3 is equal to zero by factorization

Answer 1

Step-by-step explanation:

2x²-5x+3=0

2x²-2x-3x+3=0

2x(x-1)-3(x-1)=0

(x-1)(2x-3)=0

Therefore, x=1 or x= 3/2

Answer 2

[tex]2x^2 - 5x + 3\\ [/tex]
So, we need to find two numbers a and b such that
[tex]ab = 6\\ a+b = -5[/tex]
-2 and -3 are two such numbers

So, we split -5x to -2x and -3x

[tex]2x^2 - 2x - 3x + 3\\\\ 2x(x -1) -3(x-1)\\\\ (2x-3)(x-1)[/tex]

So, our answer is (2x-3)(x-1)