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

Powerpoint can use existing documents of A. Word B. Excel C. Access D. All of the Above
2. To make the correct volume of stock solution, which should you add first to a volumetric flask, the solid or water? Why?​
copper oxide + hydrochloric acid →
What is the best topic to write a project work on Environmental science with hypothesis and ideas​
find the product of (p+3q2)pq
Put these in order starting from the smallest 6^2 3^4 5^9 2^5 The answer is not 2^5, 3^4,5^9,6^2
A piece of plastic with a mass of 15 g is placed in a graduated cylinder. The water level in the graduated cylinder rises from 30 mL to 55 mL when the plastic i
Can some one help me out my grades are bad
A grocery’s store charges $0.75 per donut. Which equation can be used to find c, the total cost, in dollars, to buy d donuts? A.) C=0.75 +d B.) C=0.75d C.) D
Please help write a system of equations to represent the scenario