Find the value of k such that the quadratic equation x (x-2k) +6 =0 has real and equal roots
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Heya Friend!!
Here's ur ans with solution :-
☣ As we know if the quadratic equation has real and equal roots then it's discriminant should be equal to zero.
that is :- D = 0
x( x - 2k ) + 6 = 0
x² - 2kx + 6 = 0
From the equation,
a = 1
b = -2k
c = 6
And,
D = b²- 4ac
0 = (-2k)² - 4 × 1 × 6
0 = 4k² -24
24 = 4k²
24/4 = k²
6 = k²
±√6 = k
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