Question

How do I simply this expression (quadratic formula basis) on a TI-84 or normal calculator?

Answer 1

`1000\pm 100√(55)`

Explanation:

A TI-84 or "normal" calculator is designed to evaluate expressions numerically. It can tell you the numerical value of this expression is the set of values

{1741.619849, 258.3801513}

but it cannot simplify the expression.

This expression can be simplified by evaluating the fraction and removing double factors from under the radical:

`(2000\pm√(2200000))/(2)=(2000)/(2)\pm\sqrt{(2200000)/(2^2)}=1000\pm√(550000)\\\\=1000\pm√(100^2\cdot 55)=1000\pm 100√(55)`