Question

find the roots of the quadratic equation 2x^2-5x+3=0

Answer 1

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Refer to the above attachment (2)

Hope it helps.

✌️Santa19 ✌️

Answer 2

Step-by-step explanation:

Given Quadratic Equation

${2x}^{2} - 5x + 3 = 0$

$2 \times 3 = 6$

Now we have to arrange 2 and 3 in such a way that on adding they give 5 and on multiplying they give 6

${2x}^{2} - (2 + 3)x + 3 = 0 \\ {2x}^{2} - 2x - 3x + 3 = 0 \\ 2x(x - 1) - 3(x - 1) = 0 \\ (x - 1)(2x - 3) = 0 \\ now \: for \: roots \\ x - 1 = 0 \: \: \: \: \: \: \: \: \: \: \: 2x - 3 = 0 \\ x = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{3}{2}$

Hence 1 and 3/2 are two roots of equation.