blueburry53 blueburry53
  • 01-03-2021
  • Mathematics
contestada

HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0

HELP rewrite the equation by completing the square x 2 10x160 class=

Respuesta :

wittpennw
wittpennw wittpennw
  • 01-03-2021

Answer:

[tex](x+5)^{2} = 9[/tex]

Step-by-step explanation:

To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)

b = 10

b/2 = 5

(b/2)^2 = 25

[tex]x^{2}[/tex] +10x + 16 = 0

subtract 16 to both sides

[tex]x^{2}[/tex] + 10x = -16

add 25 to both sides

[tex]x^{2}[/tex] +10x + 25 = 9

Perfect Square Trinomial Factoring

[tex](x+5)^{2}[/tex] = 9

Answer Link

Otras preguntas

A snowball is launched horizontally from the top of a building at v = 16.9 m/s. If it lands d = 44 meters from the bottom, how high (in m) was the building?
two methods of active transport
What's breed of given cat???Check attachment
Why did Henry Clay group his resolutions in pairs in the Compromise of 1850?
3 ( 4d + 1 ) - 9d = 6 - 2d
Why did Henry Clay group his resolutions in pairs in the Compromise of 1850?
What's breed of given cat???Check attachment
A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 h
3 ( 4d + 1 ) - 9d = 6 - 2d
A snowball is launched horizontally from the top of a building at v = 16.9 m/s. If it lands d = 44 meters from the bottom, how high (in m) was the building?