A house on the market was valued at $263,000. After several years, the value increased by 19% By how much did the house's vaule increase in dollars? What is the current value of the house

Value of house increased in several years is $49,970 and New value of house is  $312,970.

Step-by-step explanation:

A house on the market was valued at $263,000. After several years, the value increased by 19% . And so , new value of house is increased by a factor of 19% i.e. New value of house = previous value + 19% of previous value

⇒New value of house = previous value + 19% of previous value

Previous value = $263,000 and ,

19% of previous value = = $49,970

⇒New value of house  = $263,000 + $49,970 = $312,970

Now, Value of house increased in several years  = 19% of previous value of house

⇒Value of house increased in several years =   = $49,970.

∴ Value of house increased in several years is $49,970 and New value of house is  $312,970.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)