Answer :

To check whether the quadratic equation has real roots or not, we need to check the discriminant value i.e.,


D = b2 - 4ac


Given,




(x - 5) + (2x - 3) = (2x - 3)(x - 5)


3x – 8 = 2x2 - 3x - 10x + 15


2x2 - 16x + 23 = 0


D = (-16)2 - 4(2) (23)


D = 256 – 184 > 0


Hence, the roots are real.

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