Find the value of x if (x-2)²=(x+4)² answer
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=>(x-2)²=(x+4)²
=> x²-2.x.2+(2)²=x²+2.x.4+(4)²
=> x²-4x+4=x²+8x+8. [ x² should be cancelled out]
=> -4x+4=8x+8
=> -4x-8x= -4+8
=>-12x=4
=> x= 12/4
=> x= 3
Hence, the value of x is 3.
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