Question

if (c-3)²=c²+KC+9 find the value of k​

Answer 1

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Answer 2

SOLUTION

GIVEN

$\sf{ {(c - 3)}^{2} = {c}^{2} + kc + 9 }$

TO DETERMINE

The value of k

EVALUATION

Here the given equation is

$\sf{ {(c - 3)}^{2} = {c}^{2} + kc + 9 }$

$\sf{ \implies \: {c}^{2} - 2 \times c \times 3 + {3}^{2} = {c}^{2} + kc + 9 }$

$\sf{ \implies \: {c}^{2} - 6c+ 9 = {c}^{2} + kc + 9 }$

Comparing both sides we get

k = - 6

FINAL ANSWER

Hence the required value of k = - 6

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