earevalo106
earevalo106
26-05-2015
Mathematics
Answered
2^(2x)+2^(x+2)−12=0
|
Solve for x
Answer
Answer :
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
VIEW ALL ANSWERS ( 18+ )
Other Questions
Stephanie had 78 pound of bird seed she used 38 pound to fill a bird feeder
Describe a pattern in the sequence of numbers Predict the next number 1 1 2 6 24 2 0 3 8 15 24
what do all living thing need in order to live and stay healthy
Solve the equation Round the answer to the nearest tenth 104x 314 798 A x 45 B x 107 C x 47 D x 46
a boat travels at a constant speed after 20 minutes the boat has traveled 25 miles The boat travels a total of 10 miles to a bridge
Which sentence uses capital letters correctly A Tell me Chief Grover the reporter asked Who will be guarding the bank during the Festival B Tell me Chief Grover
using the square root property How would I solve this equation 2x3 Squared 18
11 a square banner has an area of 24 square feet to the nearest tenth of a foot what is the length of one side of the banner
After a military coup in Nigeria economic problems continued because of
Use properties to find the sum or product 5 x 23 x 2
