...complete the square by adding to each member of the equation the square of the quotient obtained by dividing the second term by twice the square root of the first term. Solve the equation 9 x* - 9 ж = 10. The square root of 9x2 is 3x, and - 9 x divided by twice 3x is...

...we have the first two terms given to find the third. (See § 116.) To find 62 from a2+2«&, divide the second term by twice the square root of the first term and square the result. 1. Solve and verify in the equation x2 + 14 x + 45 = 0. SOLUTION. x2 + 14x =...

...we have the first two terms given to find the third. (See § 116.) To find 62 from a2 + 2 ab, divide the second term by twice the square root of the first term and square the result. 1. Solve and verify in the equation я? + 14 x + 45 = 0. SOLUTION. ж2 + 14...

...8. Rule. When given the first two terms of the square of a binomial, to find the third term divide the second term by twice the square root of the first term and square the quotient. EXAMPLE 2. Solve 2ra2 - 8n + 3 = 0. SOLUTION. Transpose. 2n2 - 8n = -3. Multiply...

...4x4 - 25x2 = -36. Completing the square by adding to each side the square of the quotient obtained by dividing the second term by twice the square root of the first term, 4x* - 25x2 + (V)2 = -36 + W = tt Extracting the square root, 2x2 - V = ±J Transposing, 2x2 = V + J...

...equation, 4x*+6x=28, by a method other than adding to each side, the square of the quotient obtained by dividing the second term by twice the square root of the first. ____ 8. J. Will you please to solve the following problems : 6. How many liters in 113.58 gallons ?...