sandraulochi
sandraulochi sandraulochi
  • 23-07-2021
  • Mathematics
contestada

solve the equation
[tex]log10 \: ( {x}^{2} - 4x + 7) = 2[/tex]

​

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 23-07-2021

Answer:

x = 2 ±sqrt( 97)

Step-by-step explanation:

log10(x^2 -4x+7) =2

Raise each side to the base 10

10 ^ log10(x^2 -4x+7) =10^2

x^2 -4x +7 = 100

Subtract 7 from each side

x^2 -4x+7-7 = 100-7

x^2 -4x = 93

Complete the square

-4/2 = -2  (-2)^2 = 4

Add 4 to each side

x^2 -4x+4 = 93+4

(x-2)^2 = 97

Take the square root of each side

sqrt((x-2)^2 )=±sqrt( 97)

x-2 = ±sqrt( 97)

Add 2 to each side

x = 2 ±sqrt( 97)

Answer Link

Otras preguntas

work out the number that is halfway between 27 times 38 and 33 times 37
Divide 56kg into the ratio 2:1:1
A ballad is a type of narrative true or false
Divide 1.20m in the ratio 2:3:4 in a clear way
What is the liver an example of? a. a cell b. a tissue c. an organ d. an organ system
A chemical has been found to harm the same components in both prokaryotic and eukaryotic cells. Which components are those? DNA, cell membrane, cytoplasm, and r
Monogamy is defined as __________. a. only having one sex partner at a time b. practicing extreme abstinence c. not using schedule IV drugs d. recognizing da
What is the meaning of the Japanese word sumimasen
how had the american election process changed by the election of 1828
Which general gain new Western lands for emperor justiansin the 530s