...quadratic may be made to assume the form of a?x2 ± 2abx = c. To solve such an equation : The first step is to complete the square; that is, to add to each...dividing the second term by twice the square root of (he first term. The second step is to extract the squar* root of each side of the resulting equation....

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

...lacks only the third term, b2, 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 the Jirst term. 226. Every affected quadratic may be made to assume the form of aV±2eur = c. The first...

...quadratic equation the coefficient of ж2 is a square number, we may readily complete the square by dividing the second term by twice the square root of the first term, and adding the square of the quotient thus obtained to both members of the equation. That this process...

...the coefficient of x2 is 4, 9, 16, or any other perfect square, we may complete the square by adding to each side the square of the quotient obtained from...second term by twice the square root of the first term. Solve 4 x2 - 23 x = - 30. no The square root of 4z2 is 2x, and 23 x divided by twice 2 x is — •...

...the coefficient of x2 is 4, 9, 16, or any other perfect square, we may complete the square by adding to each side the square of the quotient obtained from...second term by twice the square root of the first term. Solve 4 ж2 -23 ж = -30. 23 The square root of 4z2 is 2z, and 23 x divided by twice 2 z is — •...

...may complete the square by adding to each side the square of the quotient obtained from diг-iding the second term by twice the square root of the first term. The square root of 4г2 U 2 x, and 23 x divided by twice 2 x is — • 23 Add the square of — to both...

...we may complete the square by adding to each side the square of the quotient obtained from dividiny the second term by twice the square root of the first term. Solve 4ж2 -23 ж = -30. 23 The square root of 4x2 is 2x, and 23 х divided by twice 2x is — 23 Add...

...агх? + 2 abx + b!, it is evident that the third term, W, is the square of the quotient obtained by dividing the second term by twice the square root of the first«, EXAMPLES 1. Solve the equation 5 ж2 + 12 x = 9. SOLUTION 5 *2 + 12 x = 9. Multiplying by 6, 25 x2...

...first term is a perfect square. Hence, we multiply the equation by a. iAt2 + abx = ac Its third term is the square of the quotient obtained from dividing...second term by twice the square root of the first. JO Hence, we add to each member (abx -т- 2 Va2ж2)2, or — . Hence, the principle, QED PROPOSITION...