Question

If the quadratic equations x2-2x+k=0 has equal roots then value of k is Dash

Answer 1

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Answer 2

Answer:

The value of k should be One.

Step-by-step explanation:

$GIVEN:$

Quadratic Equation = $x^{2} - 2x + k = 0$

$\imples \mathrm D = b^2 - 4ac$

For equal roots = $\bold \mathrm D = b^2 - 4ac = 0$

The question says $x^{2} - 2x + k = 0$ has two equal roots.

b = - 2,  a = 1 and c = k

For equal roots: $\mathrm b^2 - 4ac = 0$

$= (-2)^{2}  - 4 (1)(k)\\= 4 - 4k = 0\\= -4k = -4\\= k = \frac{- 4}{- 4}\\= 1$

Therefore, the value of k should be one for the quadratic equation [tex]x^{2} - 2x + k = 0[/tex] to have equal roots.