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Answer:
The value of k = 0.5.
Step-by-step explanation:
Given: Quadratic Equation,
Roots are equal.
To find: Value of k.
To find value of k we use Discriminant condition of equal roots.
Discriminant, D = 0 for equal roots
⇒ ......(1)
where, a = Coefficient of term
b = Coefficient of x term
c = Constant term
From given Quadratic equation we get,
a = 2k , b = -2( 1+2k ) , c = 3+2k
Putting these value in eqn 1 , we get
Square Both sides of equation to remove square root, we get
k = 0.5
Therefore, The value of k = 0.5.