Question

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

Answer 1

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 :

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

$by \: comparison$

$8x = 2kx$

$8 = 2k$

$k = 4$

$q = {k}^{2}$

$q = {4}^{2}$

$q = 16$