Question

if the quadratic equation x
2
−2x+k=0 has equal roots, then the value of k​

Answer 1

Given,

x² - 2x + k = 0

It is in the form of $\boxed{{ax}^{2} + bx+c= 0}$,

So,

a = 1

b = (-2)

c = k

According to the problem,

Given equation has equal roots,

Then,

$\boxed{{b}^{2} - 4ac = 0}$

By substituting the values we get,

$=>{( - 2)}^{2} - 4.1.k = 0 \\ =>4 - 4k = 0 \\ => - 4k = - 4 \\=> 4k = 4 \\ =>k = \frac{4}{4} \\=> k = 1$

.·. $\boxed{k=1}$

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