3^x+3^x+3 = 2268 solve for X.
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Answers
Answer:
HEY ARMY....
3^x+3^x+3^x=2268
=> 3x + 3x + 3x = 2268
=> 9x = 2268
=> x = 2268/9
=> x = 252 (Ans)
This question ones comed in my class 5 exam and I was willing to do that but I can't...
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Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^3-(2268/60)=0
Step by step solution :
STEP
1
:
189
Simplify ———
5
Equation at the end of step
1
:
189
(x3) - ——— = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
x3 x3 • 5
x3 = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x3 • 5 - (189) 5x3 - 189
—————————————— = —————————
5 5
Trying to factor as a Difference of Cubes:
2.3 Factoring: 5x3 - 189
Theory: A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof: (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0+b3 =
a3+b3
Check: 5 is not a cube !!