if a power 2 + 6 a + x =(a+3) power 2 , find the value of x
Plz solve it fast i will give u 20 points​

2 thoughts on “if a power 2 + 6 a + x =(a+3) power 2 , find the value of x<br /> Plz solve it fast i will give u 20 points​”

1. Question:

   • [tex]\large{\sf{a²+6a+x\:=\:(a+3)²}}[/tex]

   To Find:

   • Value of x ?

   Solution:

   We are given equation is a² + 6a + x = (a+3)²

   Here, we can algebraic identities (a+b)² (i.e a² + b² + 2ab) in RHS for expanding.

   Where,

   • a = a
   • b = 3

   Therefore,

   a² + 6a + x = (a+3)²

   → a² + 6a + x = a² + 3² + 2×a×3

   → a² + 6a + x = a² + 9 + 6a

   → [tex]\small{\sf{\cancel{a²+6a}+x\:=\: {\cancel{a²}}+9 + {\cancel{6a}}}}[/tex]

   → x = 9

   Therefore,

   • Value of x = 9

   Verification:

   a² + 6a + x = (a+3)²

   [Putting x = 9]

   → a² + 6a + 9 = a² + 3² + 2×a × 3

   → a² + 6a + 9 = a² + 9 + 6a

   LHS = RHS

   [tex]\large{\bf{\green{Verified✓}}}[/tex]

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2. Answer is in the attachment

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