if a power 2 + 6 a + x =(a+3) power 2 , find the value of x
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Answers
Answered by
15
Question:
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
→
→ 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
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