...completed without multiplying the equation, by adding to both members the square of the quotient arising from dividing the second term by twice the square root of the first. This method also becomes the same as the first method when the coefficient of z2 is unity. NOTE 3....

...completed without multiplying the equation, by adding to both members the square of the quotient arising from dividing the second term by twice the square root of the first. This method also becomes the same as the first method when the coefficient of 3? is unity. NOTE 3....

...the principle of Art. 261 ; that is, by adding to both members the square of the quotient obtained by dividing the second term by twice the square root of the first. 1. Solve the equation 9яr — 5ж= 4. The quotient of the second term divided by twice the square...

...the principle of Art. 261 ; that is, by adding to both members the square of the quotient obtained by dividing the second term by twice the square root of the first. 1. Solve the equation 9 яr — 5 ж = 4. The quotient of the second term divided by twice the 5 5...

...the principle of Art. 261 ; that is, by adding to both members the square of the quotient obtained by dividing the second term by twice the square root of the first. 1. Solve the equation 9 ar — 5 ж = 4. The quotient of the second term divided by twice the 5 5 square...

...abx lacks only the third term, V, of being a complete square. It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of thefirst term. 218. Every affected quadratic may he made to assume the form of a?x2 ± 2 abx = c. The...

...square root of the first term. 218. Every affected quadratic may be made to assume the form of aV ± 2 abx = c. The first step in the solution of such...of the quotient obtained from, dividing the second ferra by twice the square root of the first term. The second step is to extract the square root of...

...third term 62 of being a perfect square. This third term is the square of the quotient obtained by dividing the second term by twice the square root of the first term. Every affected quadratic may be made to assume the form aV ± 2abx = c (§ 131). To solve such an equation...

...quadratic may be made to assume the form of a2ar1 ± 2 abx = c. To solve such an equation : The first step is to complete the square; that is, to add to each...first term. The second step is to extract the square rdbt of each side of the resulting equation. The third and last step is to reduce the two resulting...

...abx lacks only the third term, V, of being a complete square. It will be seen that this third term is the square of the quotient obtained from dividing...second term by twice the square root of the first term. 282. Every affected quadratic may be made to assume the form of aV ± 2 abx = c. To solve such an equation...