Question

if the quadratic equation X square - 4 x + K equals to 0 has equal roots then find the value of k​

Answer 1

$\Rightarrow\Huge\boxed{k=4}$

$\huge\underline\mathfrak\purple{Answer}$

${x}^{2} - 4x + k. \\ \\ have \: equal \: roots \: so. \\ \\ d = 0 \\ \\ d = {b}^{2} - 4ac. \\ \\ 0 = {( - 4)}^{2} - 4.1.k \\ \\ 0= 16 - 4k \\ \\ 4k = 16. \\ \\ k = \cancel \frac{16}{4} . \\ \\ k = 4$

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