2160x in an hour.
x3 + 9x2 + 27x + 27 Given the numbers in the equation, we can likely bet on (x + 3) being a factor. Let's try it with artificial division: 3 * 1 = 3 9 - 3 = 6 3 * 6 = 18 27 - 18 = 9 3 * 9 = 27 27 - 27 = 0 Bingo. So let's carry it out in long division:                       x2 + 6x + 9                    _____________________ x + 3 ) x3 + 9x2 + 27x + 27                        x3 + 3x2                                        6x2 + 27x                                        6x2 + 18x                                                                9x + 27                                                                9x + 27                                                                                    0 So we have: x3 + 9x2 + 27x + 27 = (x + 3)(x2 + 6x + 9) Which we can now factor further with relative ease: = (x + 3)(x + 3)(x + 3) = (x + 3)3
27X^3 - 64 = 0 add 64 to each side 27X^3 = 64 divide each side by 27 X^3 = 64/27 take cubic root of each side X = cubic root(64/27) easy cubic root X = 4/3 check 27(4/3)^3 - 64 = 0 27(2.37037037) - 64 = 0 64 - 64 = 0 checks
(7 * x) + 2 = 187x + 2 = 187x = 18 -27x = 16x = 16/7x = 2 2/7
I'm guessing that's 18x3 + 29x2 + 3x. That factors to x(2x + 3)(9x + 1) 18x3 + 29x2 + 3x factor x = x(18x2 + 29x + 3) write 29x as 27x + 2x = x(18x2 + 27x + 2x + 3) group by two and factor each group = x[(18x2 + 27x) + (2x + 3)] = x[9x(2x + 3) + 1(2x + 3)] continue factoring = x(2x + 3)(9x + 1) Or since (18)(3) = 54 and (27)(2) = 54 then write: = x(18x2 + 29x + 3) = x[(18x + 27)/9][(18x + 2)/2] = x(2x + 3)(9x + 1)
We must assume that the question is asking us to determine the value of 'x'.log(7) + log(x) = 2log(7x) = 27x = 102 = 100x = 100/7 = 14.2857 (rounded)
27x-3=105 27x =105+3 27x = 108 27x/27=108/27 x= 4
It is: 23-27x when simplified
27x-3=105 27x=105+3 27x=108 x=108/27 x=4ans
27x/9x = 3x
sqrt(27x)9 = (27x)9/2 = 27x4.5 While that can be simplified somewhat, it will leave a surd - sqrt(3x) - in the answer. Whether or not simplification is worthwhile, therefore, depends on what is to be done with the answer. > sq. root ( 279) ? on calculator: 27, x^y, 9, =, inv, x^2 > 2761448.4397
0.9 sq m
3x2 + 27x +60
9 + 9y = 27x -9 -9 9y = 27x - 9 9y/9 = 27x/9 - 9/9 y = 3x -1
Is the same as: 27x+1 = 3 Deduct 1 from both sides: 27x+1-1 = 3-1 27x = 2 Divide both sides by 27: x = 2/27
cube root of 27 = 3, so 3^12 = 531 441 * * * * * If the question is about 27x, rather than 27, the answer is as follows: cuberoot(27x12) = (27x)12/3 = (27x)4 = 531441x4
0.2963
27X^3-8 = 0 27X^3 = 8 X^3 = 8/27 X = cubic root of 8/cubic root of 27 = 2/3