Discriminant of the following quadratic equation is zero for k equal to:
$x^{2}$ - 2x + k = 0, k $ϵ$ R

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Solution

$\Rightarrow$ Given quadratic quation is $x^{2} - 2 x + k = 0$ , comparing it with $a x^{2} + b x + c = 0$
$\Rightarrow$ We get, $a = 1, b = - 2$ and $c = k$
$\Rightarrow$ It is given that discriminant is equal to $0$ .
$∴$ $b^{2} - 4 a c = 0$
$\Rightarrow$ $(- 2)^{2} - 4 (1) (k) = 0$
$\Rightarrow$ $4 - 4 k = 0$
$\Rightarrow$ $4 k = 4$
$∴$ $k = 1$

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Discriminant of the following quadratic equation is zero for k equal to:x2 - 2x + k = 0, k ϵ R

⇒ Given quadratic quation is x2−2x+k=0, comparing it with ax2+bx+c=0⇒ We get, a=1,b=−2 and c=k⇒ It is given that discriminant is equal to 0.∴ b2−4ac=0⇒ (−2)2−4(1)(k)=0⇒ 4−4k=0⇒ 4k=4∴ k=1

Discriminant of the following quadratic equation is zero for k equal to:
$x^{2}$ - 2x + k = 0, k $ϵ$ R