earevalo106 earevalo106

26-05-2015
Mathematics

contestada

2^(2x)+2^(x+2)−12=0
|
Solve for x
Answer

Respuesta :

crisforp crisforp

26-05-2015

2^(2x) = (2^x)^2 ;
2^(x+2) = (2^x) × 4 ;
Let be 2^x = y > 0 ;
y^2 + 4y - 12 = 0 ;
a = 1 ;
b = 4 ;
c = - 12 ;
b^2 - 4ac = 16 + 48 = 64 ;
y1 = ( - 4 + 8 ) / 2 = 2 > 0 ( correct ) ;
y2 = ( - 4 - 8 ) / 2 = - 6 > 0 ( false ) ;
Then, 2^x = 2 ;
x = 1.

Answer Link

Otras preguntas

According to the "rule of 70", how many years will it take for real gdp per capita to double when the growth rate of real gdp per capita is 5%?

What action was taken by the federal government in the late 1800s as a way to promote industrial growth?

When Jeremy filled his car's gas tank last week, his car had an odometer reading of 25,500. One week later, he refilled the tank, which now has an odometer read

Use the tangent radio to find the missing leg of this right triangle. Estimate your answer to two decimal places.

Which important biochemical process receives a supply of NAD+ ions from the fermentation process during anaerobic respiration

What does Onbg mean?

the difference between a number,x, and 4 is 9. find the number

Please answer, really need help, will be very grateful to anyone who helps... a) a^2+ 2ab+ b^2=25, find a+b b) a^2− 8ab+ 16b^2=81, find a–4b

What is the multiple choice answer

Which of the following is an example of communication disease