SOLUTION: Solve for x and state any restrictions. 0° ≤ x ≤ 360°
{{{ 27(3^(2tanx)) - 242(3^tanx) - 9 = 0 }}}
Algebra.Com
Question 1187454: Solve for x and state any restrictions. 0° ≤ x ≤ 360°
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve for x and state any restrictions. 0° ≤ x ≤ 360°
------------------
Sub z for 3^tan(x)
-----
27z^2 - 242z - 9 = 0
(27z + 1)*(z - 9) = 0
---
z = 9
3^tan(x) = 9
tan(X) = 2
====================
27z + 1 = 0
x = -1/27
tan(x) = -1/27
==========================
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Solve for x and state any restrictions. 0° ≤ x ≤ 360°
------------------
I came to fix error in the post by Alan.
Sub z for 3^tan(x)
-----
27z^2 - 242z - 9 = 0
(27z + 1)*(z - 9) = 0
---
z = 9
3^tan(x) = 9
tan(X) = 2
====================
27z + 1 = 0
z = -1/27
= -1/27
There is no solution: the left side is ALWAYS positive, while the right side is NEGATIVE.
==========================
ANSWER. x = arctan(2).
Solved.
RELATED QUESTIONS
Solve for x:
sec^2 x + tanx = 3... (answered by josgarithmetic,MathTherapy)
Solve tanx secx-2tanx=0 for all real values of... (answered by Alan3354)
Solve for x.
2sinx + 2tanx =... (answered by ikleyn)
Solve 3sec^2 = 2tanx + 4 = 0. For x is less than or equal to... (answered by mananth,ikleyn)
tan^2(x) - tanx - 3 =0
solve for... (answered by greenestamps)
Solve for x. State any restrictions to the variables. a(x-3) + 8 =... (answered by Fombitz)
Help please! State any restrictions on x. And solve for x.
5 2 7
- + - = -
3x (answered by ankor@dixie-net.com)
I need to solve this equation for the interval [0, 2pi) :
-tan^2(x)+3 =... (answered by Boreal,ikleyn)
solve for the variable, first stating any restrictions. if there are no restrictions,... (answered by eggsarecool)