Completing the square

Algebra Level 1

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

y 2 14 y + . . . . y^2 - 14y +....

14 49 7 0

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5 solutions

Viraj Tamakuwala
Feb 8, 2015

you can complete the square by adding (b/2)^2

.

Young Champ
Feb 10, 2015

A square is written in the form of an expanded quadratic as x^2-2 (a) (x)+a^2

Since, in the equation given a=7, a^2=49

Hence, 49 should be added

Henry Parker
Nov 23, 2020

You can complete the square by halving the given bx th term and then square it.

Aaron Ma
Feb 20, 2021

In order to complete the square, all we need to do is add ( b ÷ 2 ) 2 (b \div 2)^2 for a quadratic in the form a 2 + b x + c = 0 a^2 + bx + c = 0 where in this problem a = 0 a = 0 , b = 14 b = -14 and c = 0 c = 0 . ( b ÷ 2 ) 2 = ( 14 ÷ 2 ) 2 = ( 7 ) 2 = 49 (b \div 2)^2 = (-14 \div 2)^2 = (-7)^2 = 49

Donovan Karnes
Nov 4, 2020

14=b (b/2)^2=c ax^2+/-bx+/-c

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