[(5^2) x 2] / [5 + 4] = [25 x 2] / [9] = [50]/9 = 5 and 5/9
The prime factorization of 10,800 using exponents is 2^4 x 3^3 x 5^2 10800 / \ 108 x 100 / \ / \ 12*9 x 5*10 / \ \ \ /\ 6*2*9 x 5*5*2 /\ / \ \ \ \ 3*2*2*9 x 5x5x2 3x2x2x9x5x5x2
x+6/2 = 9/5 Start x+3 = 9/5 Simplify 6/2 into 3 x + 3 = 1.8 Simplify 9/5 into 1.8 x = 1.2 Subtract 1.8 from 3 (or x = 6/5)
x + 5 - 2x = 9 -x = 4 x = -4
2(x+5) =3X+1 => 2x+10-3x-1=0. => -x+9 => x=9
3x2 + 2x + 2 = 0 Can not be factored. You can however solve it for x: 3x2 + 2x = -2 x2 + 2x/3 = -2/3 x2 + 2x/3 + 1/9 = -2/3 + 1/9 (x + 1/9)2 = -5/9 x + 1/9 = ±√(-5/9) x = -1/9 ± i√(5/9) x = -1/9 ± i√5 / 3 x = -1/9 ± 3i√5 / 9 x = (-1 ± 3i√5) / 9
[(5^2) x 2] / [5 + 4] = [25 x 2] / [9] = [50]/9 = 5 and 5/9
Factor them. 3 x 3 = 9 5 x 5 = 25 2 x 2 x 2 x 3 x 5 = 120 Combine the highest amount of each prime factor. 2 x 2 x 2 x 3 x 3 x 5 x 5 = 1800, the LCM
That would be 90.you may think it might be 90,9090 which is 2 x 5 x 9 No smaller number can be divided evenly by each of the three numbers.
2 x 2 x 2 x 2 x 3 x 5 x 5
1,000,000,000 = 109 = (2 x 5)9 = 29 x 59 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 The factors of one billion are 2 and 5
The prime factorization of 10,800 using exponents is 2^4 x 3^3 x 5^2 10800 / \ 108 x 100 / \ / \ 12*9 x 5*10 / \ \ \ /\ 6*2*9 x 5*5*2 /\ / \ \ \ \ 3*2*2*9 x 5x5x2 3x2x2x9x5x5x2
x+6/2 = 9/5 Start x+3 = 9/5 Simplify 6/2 into 3 x + 3 = 1.8 Simplify 9/5 into 1.8 x = 1.2 Subtract 1.8 from 3 (or x = 6/5)
2 x 2 x 5 x 7 = 140 5 x 9 x 9 = 405 HCF is 5 LCM is 11,340
x + 5 - 2x = 9 -x = 4 x = -4
Reason 2 X 5 X 9 is Not Prime Factorization of 90The reason 2 X 5 X 9 is not the prime factorization of 90 is that 9 is not a prime number. 3 X 3 is 9, so the prime factorization of 90 is 2 X 3 X 3 X 5.
ANSWER 90 198 = 9 ( 10 22) = 9 x 2 ( 5 11) = 9 x 2 ( 5 x 11) = 9 x 2 x 5 x 11 = 990 :. The least common multiple of 90 and 198 is 990.