solve this question plz
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Step-by-step explanation:
Given that,
x^(5+a)² × x^(5-a)² = x⁴⁰ (∵ " ^ " this symbol means " to the power of " )
x^( 5+ a )² + ( 5 - a )² = x⁴⁰ ( ∵ Bases are equal, then powers should be add )
x^ [( 5 )² + a² + 2 ( 5 ) ( a ) + ( 5 )² + a² - 2 ( 5 ) ( a ) ] = x⁴⁰
x^ (25+ a² + 10a + 25 + a² - 10a ) = x⁴⁰
x^ (2a² + 50 ) = x⁴⁰
2a² + 50 = 40 (∵Bases are equal then powers should be equal )
2a² = 40 - 50
2a² = - 10
a² = - 10/2 ( ∵transposing )
a² = - 5
a = √ - 5 is the answer.
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sorry I don't know this question's answer
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