
a.
Record the values in a table.
a.

Answer to Problem 2PS
yy3+y21221233648051506252739285769810101100
Explanation of Solution
Calculation:
Consider the expression,
y3+y2
Put y=1,2,3,........10 individually and get the table as below:
Hence,
yy3+y21221233648051506252739285769810101100
b.
Solve each equation.
b.

Answer to Problem 2PS
x=6,6,3,10,6,3
Explanation of Solution
Calculation:
Consider the equation
x3+x2=252
Compare the equation with , ax3+bx2+c
a=1b=1c=252
So, the value of a2cb3=252
So, according to Babylonian polynomial,
x=bya
Now, from the above table , you get 252 at y=6 .
So, the solution is,
x=(1)(6)1
x=6
x3+2x2=63+2×62=288
3x3+x2=90x=(1)(9)3x=3
2x3+5x2=2500x=(5)(4)2x=10
7x3+6x2=1728a2cb3=(49)(1728)216=392x=(6)(7)7x=6
10x3+3x2=297a2cb3=(100)(297)27=1100x=(3)(10)10x=3
Hence, the solution is x=6,6,3,10,6,3 .
c.
Verify solution for each equation
c.

Answer to Problem 2PS
Verified
Explanation of Solution
Calculation:
Consider the equation
Verify the solution by putting x=6 in x3+x2
x3+x2=63+62=252
x3+2x2=288
Verify the solution by putting x=6 in x3+2x2
x3+2x2=63+2×62=288
Verify the solution by putting x=3 in 3x3+x2
3x3+x2=3×33+32=90
Verify the solution by putting x=10 in 2x3+5x2
2x3+5x2=2×103+5×102=2500
Verify the solution by putting x=6 in 7x3+6x2
7x3+6x2=7×63+6×62=1728
Verify the solution by putting x=3 in 10x3+3x2
10x3+3x2=10×33+3×32=297
Hence, the solutions verified.
Chapter 2 Solutions
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