Question

If one roots of quadratic equation xx-7x+k=0is 2 find value of k

Answer 1

Answer:

2

Step-by-step explanation:

Since, 4 is root of x  

2  −7x+k=0

⇒42   −7×4+k=0

⇒16−28+k=0

⇒k=12

Answer 2

$\huge\red {\bf {\underline {Solution:-}}}$

${\tt{f(x) = {x}^{2} - 7x + k = 0}}$

According to the question,

${\tt {∴f(2) = {2}^{2} - 7 \times 2 + k = 0}}$

$⇒{\tt{4 - 14 + k = 0}}$

$⇒{\tt {- 10 + k = 0}}$

$⇒{\tt{k = 10}}$

$\bold\pink{\bf {Hence,\:the\:value\:of\:k\:is\:10.}}$

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