aiirrx
aiirrx aiirrx
  • 03-09-2017
  • Mathematics
contestada

What number must you add to complete the square?

x^2 + 14x = -7

49?

Respuesta :

mreijepatmat
mreijepatmat mreijepatmat
  • 03-09-2017
x²+ 14x = -749

x²+ 14x +?² = (x+?)², 

Let's extend (x+?)² in English:
(x+?)² = square of the first (=x²) + TWICE the 1st time the second (14x)+?²

So TWICE the 1st time the second = 2.x.? = 14x and ? 14x/2x = 7
then :x²+ 14x +?²  =  x² +14x + 49
Since we have added 49, let's subtract 49 to keep the balance of the equation:

(x² +14x + 49) - 49 = (x+7)² - 49 = - 749

(x+7)² = 700

Answer Link

Otras preguntas

Gary is catering a picnic. There will be 118 guests at the picnic, and he wants each guest to have a 12-ounce serving of salad How much salad should he make?
the united states was responsible for the human genome project (hgp).
What is 33 percent in simplest form?
Describe an ideal place using the correct sequence of adjectives in a series
Say the word and then break apart the syllables in the word while tapping the circles clock,pretzel,pig
From 2125 B.C. to 2025 B.C., ________ was ruled by the Third Dynasty of Ur. A: Egypt B: Mesopotamia C: Syria D: Turkey
the point at which the continent stops and the rock of the ocean floor begins is the called the continental a. shelf. b. divide. c. drift. d. slope
What role did the cities of Mogadishu and Mombasa play in the economic life of East Africa?
Science.... homework!
if a 24 pack of cans is 2 for $9 what is the ratio of the number of cans to price