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

Why is hiv/aids rate increasing?
In rabbits, the allele for black fur, B, is dominant over the allele for brown fur, b. Calculate the probability of a homozygous dominant (BB) offspring result
name the political party that gained power after the war of 1812
The ability to learn from experience, solve problems, and use knowledge to adapt to new situations is known as
Can someone pls help me!
Two heterozygous parents will both contribute a recessive allele to their child?
How is the Italian sonnet different from the Shakespearean sonnet?
How many electrons does carbon have? a. 3 b. 6 c. 12 d. 24
Based on its location on the periodic table, which metal is likely to be less reactive than rubidium and more reactive than calcium? potassium (K) cesium (Cs)
It is 4 1/2 miles to the end of the trail. If Sophia bikes to the end and back in 60 minutes, what is her average speed in miles per hour? Please show work!