# What is the quotient of three less than twice a number and the number squared?The number is -2.

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Expert Answers

lfryerda | Certified Educator

If we let x be the number then the expression is:

`{2x-3}/x^2` the numerator is the first part which is 3 less than twice the number

The denominator is the number squared.

Now substitute `x=-2` into the expression to get:

`{2(-2)-3}/{(-2)^2}` simplify numerator

`={-4-3}/{(-2)^2}` evaluate denominator

`={-4-3}/4` simplify numerator

`=-7/4`

**The final value of the expression is `-7/4` .**