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solve:-

(2x-7)(x-3)(x+3)(2x+5)=91

sayan kumar , 15 Years ago
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Badiuddin askIITians.ismu Expert

Last Activity: 15 Years ago

Dear sayan

(2x-7)(x-3)(x+3)(2x+5)=91

(2x-6-1)(x-3)(x+3)(2x+6-1)=91

[2(x-3)2 - (x-3)][ 2(x+3)2 - (x+3)]=91

4(x-3)2(x+3)2  -2(x+3)2(x-3)-2(x-3)2(x+3) +(x-3)(x+3) = 91

4(x-3)2(x+3)2  -2(x+3)(x-3)2x +(x2-9) = 91

[x+2(x-3)(x+3)]2  =100

or 2x2 +x-18 =±10

 + sign

  2x2 +x-28 =0

- sign

2x2 +x-8 =0

now solve these two equation and find solution

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