for what value(s) of k does the equation x2-2kx-k = 0 will have equal roots - Maths - Quadratic Equations

Question

for what value(s) of k does the equation x2-2kx-k = 0
will have equal roots?

Manmeet Singh · Accepted Answer

The equation is $x^{2} - 2 k x - k = 0$

For an equation to have equal roots, the value of D = 0

$\Rightarrow b^{2} - 4 a c = 0 \Rightarrow (- 2 k)^{2} - 4 (1 \times ((- k)) = 0 \Rightarrow 4 k^{2} + 4 k = 0 \Rightarrow 4 k (k + 1) = 0 \Rightarrow k = 0, - 1$

for what value(s) of k does the equation x2-2kx-k = 0 will have equal roots?

for what value(s) of k does the equation x²-2kx-k = 0 will have equal roots?