Question

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

Answer 1

Answer:

  $1000\pm 100\sqrt{55}$

Step-by-step 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:

$\dfrac{2000\pm\sqrt{2200000}}{2}=\dfrac{2000}{2}\pm\sqrt{\dfrac{2200000}{2^2}}=1000\pm\sqrt{550000}\\\\=1000\pm\sqrt{100^2\cdot 55}=1000\pm 100\sqrt{55}$