If ‘x’ is a counting number(a) What number should be added to x2 +

1.	If ‘x’ is a counting number(a) What number should be added to x2 + 6x to become aperfect square?(b)If x2 + ax +16 is a perfect square what will be the value of a.Varghese P M , Holy Ghost B H S Muttuchira
Answer» SOLUTION TO DETERMINE If ‘x’ is a counting number (a) The number should be added to x² + 6x to become a perfect square (b) The value of a if x² + ax +16 is a perfect square EVALUATION (a) $\sf{ {x}^{2} + 6x }$ $\sf{ = {x}^{2} + 2.x.3 + {(3)}^{2} - {(3)}^{2} }$ $\sf{ = {(x + 3)}^{2} - 9}$ The number should be added = 9 (b) $\sf{ {x}^{2} + ax + 16}$ $\sf{ = {x}^{2} \pm 2.x.4 + {(4)}^{2} \mp \: 2.x.4 + ax }$ $\sf{ = {(x \pm 4)}^{2} + x(a \mp 8)}$ Hence the REQUIRED value $\sf{a = \pm 8}$ ━━━━━━━━━━━━━━━━ Learn more from Brainly :- 1. compare the surds 6 root 3 & 3 root 12 brainly.in/question/26868950 2. The average AGE of A and B is 12 years, B and C is 9 years and that of C and DIS 23 years. If the average age of A brainly.in/question/33842744