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

ms. smith sells gourmet baked goods to local specialty shops. she wants to offer a new product this fall. elegant chocolate cake will cost her $ 20.00 each to p
In the moss life cycle the diploid embryo grows into a sporophyte. This sporophytc grows out of the A. spore. B. antheridium. C. female gametophyte. D. male
Por favor, _____ Ud. las chuletas de cerdo con estos _____. A. dé, sabores B. sirvan, sabores C. traiga, suelos D. sirva, frijoles
Area where magma from deep within the mantle melts through the crust
Which endocrine gland is involved in the maturation of cells of the immune system?
can i get some help
what are the connections between various landforms that shaped on earth's surfaces and processes that are responsible for their formations
10.0 grams of H in moles
What effect does it have on Gawain's body? What effect does it have on Gawain's emotions? How does the Green Knight justify it later? Consider Gawain’s change i
4 1/2 divided by 3/4 ( step by step plz)