The product of the roots of a quadratic equation 2x²-5x+3=0 is 5/2 if it is correct give reason

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  It is incorrect. The product is 3/2.

Step-by-step explanation:

The factored form of a quadratic with roots p and q can be ...

  a(x -p)(x -q) = ax² -a(p+q) +apq

Then the product of the roots is the ratio of the constant to the leading coefficient:

  pq = (apq)/a

In the given quadratic, that product is ...

  pq = 3/2 . . . . . . not 5/2

The statement that the product of roots is 5/2 is incorrect. That value does not have the required relationship to the coefficients of the quadratic.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)