Solve: (2+1) 2+(2−1) 2 (2+1) 2−(2−1) 2 = 17 8
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Answer:
(2x+1)2+(2x−1)2=817
⇒(2x+1+2x−1)(2x+1−2x+1)4x2+4x+1+4x2−4x+1=817
⇒(4x)(2)8x2+2=817
⇒8x8x2+2=817
⇒x8x2+2=17
⇒8x2−17x+2=0
⇒8x2−16x−x+2=0
⇒8x(x−2)−1(x−2)=0
⇒(x−2)(8x−1)=0
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Answer:
16
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