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Irina18 [472]
3 years ago
15

If x square plus 8x plus q =(x plus k) Square find the value of k and q​

Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0

Answer:

The value of k is 4 and q is 16.

Step-by-step explanation:

First, you have to expand the brackets by applying :

{(a + b)}^{2}  =  {a}^{2}  + 2ab +  {b}^{2}

{x}^{2}  + 8x + q =  {(x + k)}^{2}

{x}^{2}  + 8x + q =  {x}^{2}  + 2kx +  {k}^{2}

Next, you have to do it by comparison :

{x}^{2}  + 8x + q =  {x}^{2}  + 2kx +  {k}^{2}

by \: comparison

8x = 2kx

8 = 2k

k = 4

q =  {k}^{2}

q =  {4}^{2}

q = 16

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