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  • Determine the values of x satisfying the equlity |(x^2+4x+9) +(2x-3) |=|x^2+4x+9| +|2x-3|

Determine the values of x satisfying the equlity |(x^2+4x+9) +(2x-3) |=|x^2+4x+9| +|2x-3|

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Solution: The Equality left | a+b ight |=left | a ight |+left | b ight | is vaild if and only if both summands have same sign,

ecause x^2+4x+9=(x+2)^2+5> 0 at any values of  x , the equality is satisfied at those values

of x at which2x-3geq 0 ,i.e xgeq 3/2

Posted by

Deependra Verma

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