<p> NOT Needed </p>

174d7129-743b-4451-9e1d-f4c25961d2e6 13 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

ab1_un 1500 :

f'c'_A_un 16.575 :

d1_un 812.4 :

d2_un 787.2 :

Lf_un 3500 :

davg d1_un d2_un + 2 / : 799.8

Col1 500 :

Pf_un 3000000 :

bf_un 3500 :

d 0.67 ab1_un * f'c'_A_un * - d2_un / : 21.16 -

c 0.67 - (f'c'_A_un Col1 * * f'c'_A_un ab1_un * davg * d2_un / + : 19707.83

b f'c'_A_un Col1 * davg * : 6.63 106^*

a 0.5 - (Pf_un * Lf_un 4 / Col1 4 / - (* : 1.13 109^* -

roots a b c d 41 mat polyroots : 127.81721862258 358.076328715306 - 1161.59045337631 31 mat

a b c d 41 mat 1.125 109^* - 6.6283 106^* 19707.8266 21.1609 - 41 mat

Real_root1 10013 mat roots * : 127.82 11 mat

Real_root2 01013 mat roots * : 358.08 - 11 mat

Real_root3 00113 mat roots * : 1161.59 11 mat

x f a b x * + c x 2^* + d x 3^* + :

x f

r x f x 500 - 2000 solve : 358.076329805622 - 127.817218591006 1161.59045333844 31 mat

R x f x 1000 - roots x f x 0 roots x f x 1000 roots 31 sys : 358.076328715310000 - 127.817218622585000 1161.590453376300000 31 sys

roots plugin is more accurate. It just needs a starting point scan left ► right. Observe the scan is on linear encounter root ... R3

roots 1 el f R 1 el f r 1 el f 31 sys 5.0749 105 -^* - 8.4237 106 -^* - 17.0363 31 sys

roots 2 el f R 2 el f r 2 el f 31 sys 6.8695 105 -^* - 2.5416 106 -^* 0.3357 - 31 sys

roots 3 el f R 3 el f r 3 el f 31 sys 0.0002 - 0.0003 1.2589 31 sys

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

data R 1 el 0 R 2 el 0 R 3 el 032 mat :

Roots data . 14 black plot :

x f Roots 2 1 sys <p> NOT Needed </p>

$x x f x 11001300 solve : 1161.5905$ $x 1161.59045337613$ $x Clear 1$

$x x f x 0 roots : 127.8172$ $x 127.817218622585$ $x Clear 1$

$x f 0 ≡ x 1200 ≡ FindRoot 1.3578 109^*$ $x 1.35778696829268 109^*$ $x f 5.297 1028^* -$ $x Clear 1$

$x g x 1 el f :$ $guess 80011 mat :$ $x guess 01015 -^g al_nleqsolve 1 el : #$ $x #$ $x f #$