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Question Number 167493 by mathlove last updated on 18/Mar/22

(√(x+6))+(√(8−x))=A x∈Z and A∈R ^( faid Σx=?)

x+6+8−x=Ax∈ZandA∈RfaidΣx=?

Answered by Rasheed.Sindhi last updated on 18/Mar/22

(√(x+6))+(√(8−x))=A x∈Z and A∈R find Σx. (√(x+6))+(√(8−x))=A∈R ⇒ x+6≥0 ∧ 8−x≥0 [x∈Z] x≥−6 ∧ x≤8 x=−6,−5,−4,...0,1,...,8 Σx=−6−5...−1+0+1...+5+6+7+8=15

x+6+8−x=Ax∈ZandA∈RfindΣx.x+6+8−x=A∈R⇒x+6⩾0∧8−x⩾0[x∈Z]x⩾−6∧x⩽8x=−6,−5,−4,...0,1,...,8Σx=−6−5...−1+0+1...+5+6+7+8=15

Commented by mathlove last updated on 18/Mar/22

thanks bro

thanksbro

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