If the sum of the roots of the equation x² – x = k(2x – 1) is 2, then find the value of K.
WBBSE
Class X
Mathematics
Quadratic Equation With One Variable
02 Mark
2023
x² – x = k(2x – 1)
or, x² – x = 2kx – k
or, x² – (2k + 1)x + k = 0
Sum of roots = α + β = 2k + 1
ATP : 2k + 1 = 0
k = –\frac{1}{2}
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