Q. 1 D

# Find whether the following equations have real roots. If real roots exist, find them.

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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