...second degree, viz. 1°. The equation being reduced to the form x2 -f- px = q, add to both members the square of half the coefficient of x in the second term ; 2°. extract the square root of both members, taking care to give to the root of the second member...

...second degree. After having reduced the equation to the form x2 -f- px = q ; add to the two members the square of half the coefficient of x in the second term, extract the square root of both members, and place the double sign ± before the square root of the...

...expression .т2 ± 2ax, it is evident, that we should make it a perfect square by adding a2, which is the square of half the coefficient of x in the second term. In like manner, we may make x3 ± px, a perfect square by adding the square of \p ; p being the coefficient...

...Reduce the equation to the form x2 -(- px = q. 2°. Complete the square by adding to both members, the square of half the coefficient of .x. in the second term. 3°. Extract the root of both members, taking care to give to the root of the second member the double...

...following rules will be found a great saving of labor. FIRST FORM. Ride. — Add to the right hand member the square of half the coefficient of x (in the second term) ; evolve and connect to the root, with the opposite sign, half the same coefficient. Example 1: xa+4x=21....

...following rules will be found a great saving of labor. FIRST FORM. Ride. — Add to the right hand member the square of half the coefficient of x (in the second term) ; evolve and connect to the root, with the opposite sign, half the same coefficient. Example 1: x3-f-4x=21....

...я? ± 2 nx = b. We readily find, by squaring, that In the complete square of this form, therefore, the third term is the square of half the coefficient of x. Hence we have the following EULE FOR COMPLETING THE SQUARE. Aаа the square of half the coefficient...

...terms, we shall find — 3,r2 + Uz—— 5. Dividing both sides of this equation by — 3, --¥-! Adding the square of half the coefficient of x, in the second term, to each side, — which is called completing the square, 2- 14z 49 _ 5 49 _ 64 ,'~ 3- .!~~9~~3 + ir~1P...

...the second degree, viz. 1°. The ^equation being reduced to the form x"-j-px = q, add lo both members the square of half the coefficient of x in the second term ; 2°. extract the square root of both members, taking care to give to the root of the second member...

...have 81 which is the square of x + 9, 16 .............................. x- 4, *-18. In all these cases the third term is the square of half the coefficient of x. For 81= (9)2 289=(17)2=(f)2, 324 •<«>•-(¥)" 238. Now put the question in this shape. What must...