Universal Analysis of Equations (1702) - Page 21

( 15 )

PROBLEM VII.

Let there be a quadratic equation of the Third form.

ba — aa = c

In numbers 8a — aa = 14.

c + gg — bg

Theor. x = —----------

b — 2g

g = 2
c + gg — bg = + 2
b — 2g = 4) + 2.0 (+ .5 = x

2. + .5

g = 2.5
c + gg — bg = + .25
b — 2g = 3) + .25 (+ .083 = x

2.5 + .083

g = 2.583
c + gg — bg = + .007889
b — 2g = 2.834) + .007889 (+ .002783 = x

2.283 + .002783

g = 2.585783
c + gg — bg = + .000009723089
b — 2g = 2.828434) + .000009723089 (+ .000003437622 = x

2.585783 + .000003437622 --------------- a = 2.585786437622