hellohibye567
hellohibye567 hellohibye567
  • 04-05-2020
  • Mathematics
contestada

Solve x2 - 8x = 20 by completing the square. Which is the solution set of the equation?
{-22,14}
{-14,22}
{-10,2}
{-2,10}

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 05-05-2020

Answer:

{-2,10}

Step-by-step explanation:

x^2 - 8x = 20

Take the coefficient of x

-8

Divide by 2

-8/2 =-4

Square it

(-4)^2 =16

Add this to each side

x^2 - 8x+16 = 20+16

x^2 - 8x+16 = 36

The left hand side becomes( x + (-8/2) )^2

(x - 4)^2 = 36

Take the square root of each side

sqrt((x - 4)^2) =±sqrt( 36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4±6

x = 4+6       x = 4-6

x = 10        x = -2

Answer Link

Otras preguntas

The clause in the underlined part of sentence 3 is a(n) _____ clause.
What is a typeface? A. A collection of similar text B. A collection of similar fonts C. A collection of similar designs D. A collection of similar colors E. A C
What does this equal
I need three reasons on why America invaded Canada in 1812
_________como el pescado. (1 point) Question 9 options: 1) Nada 2) Nunca 3) Nadie
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon
Pleaaase help , and show work if you can
Helppp Plsss Asap!! Thanks!! ​
***EASY QUESTION, LOTS OF POINTS!!*** In pea plants, the allele for purple flowers (P) is dominant to the allele for white flowers (p.) A plant that is heterozy
Convert 2 weeks to min