£8 ^Treatise «/ Part I,

Suppose that the quadratic equation proposedpo be resolved is y l — ay — b ;

then y 1 — ay + — = b + —,4 4

If the square root of ^ ~ cannot be extracted

exactly, you must, in order to determine theValue ofjy, nearly approximate to the value of

v /b + by the Rules in Chap. 8. The sol-

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lowing examples will illustrate the Rule forquadratic equations.

EXAMPLE I.

Tp find that number , which if you multiply byL, the product shall be equal to the square of th*fame number, having \ 2 added to it.

Call the numbers; then

f + 12 = 8^,transp. _>* — 8jy = — 12,

Add the sq. of 4,/ — 8_y + 16 =: — 12 + 16 = 4,extract the root y — 4 — ± 2,

transp. y — 4 ± 2 = 6 , or 2.

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