Answered

IDNLearn.com: Where your questions meet expert advice and community insights. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.

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

Sagot :

Crisforpidn
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.
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.