Answer: 18:6
Step-by-step explanation:
A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
1(6x-9)=(4x-6)
One solution was found :
x = 3/2 = 1.500
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1*(6*x-9)-((4*x-6))=0
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
6x - 9 = 3 • (2x - 3)
Equation at the end of step 2 :
3 • (2x - 3) - (4x - 6) = 0
Step 3 :
Equation at the end of step 3 :
2x - 3 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500
