|2-x||x-7|=36

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Please find below the solution to the asked query:

2-xx-7=36-x-2x-7=36Now -x-2=x-2x-2x-7=36We know that ab=abx-2x-7=36x2-7x-2x+14=36x2-9x+14=36We know that -2=2 and 2=2If x=a ,where a>0x=±ax2-9x+14=±36When x2-9x+14=36x2-9x+14-36=0x2-9x-22=0x2+2x-11x-22=0xx+2-11x+2=0x-11x+2=0x1=11x2=-2When x2-9x+14=-36x2-9x+14+36=0x2-9x+50=0Discriminant=-92-4×1×50=81-200Discriminant=-119<0x2-9x+50=0 will have no solution.Hence solutions of  2-xx-7=36 are x=11 and x=-2.

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