maths 11 and 14 have to be solved
Attachments:
Answers
Answered by
1
Here is the answer of question no 11
Attachments:
Meghu11:
I didn't understand second the step
Answered by
1
11)A.
x-1/x=10/3
do cubing on both sides
(x-1/x)³=[10/3]³
x³-1/x³-3x×1/x(x-1/x)=1000/27
x³-1/x³-3(x-1/x)=1000/27
x³-1/x³-3(10/3)=1000/27
x³-1/x³-30/3=1000/27
x³-1/x³-10=1000/27
x³-1/x³=1000/27+10
x³-1/x³=1000+270/27
x³-1/x³=1270/27
THIS IS 11TH ANSWER
14)A.
a-b=7
do cubing on both sides
(a-b)³=(7)³
a³-b³-3ab(a-b)=343
133-3ab(7)=343
-21ab=343-133
-21ab=210
ab= -10
_______
a-b=7
do squaring on both sides
(a-b)²=7²
a²+b²-2ab=49
a²+b²-2×-10=49
a²+b²+20=49
a²+b²=49-20
a²+b²=29
_________
13)A.
the two numbers be X and Y
x+y=11; x³+y³=737
(x+y)³=(11)³
x³+y³+3xy(x+y)=1331
737+3xy(11)=1331
33xy=1331-737
33xy=594
xy=18
____
(x+y)²=(11)²
x²+y²+2xy=121
x²+y²+2×18=121
x²+y²+36=121
x²+y²=121-36
x²+y²=85
sums of square is equal to 85
x-1/x=10/3
do cubing on both sides
(x-1/x)³=[10/3]³
x³-1/x³-3x×1/x(x-1/x)=1000/27
x³-1/x³-3(x-1/x)=1000/27
x³-1/x³-3(10/3)=1000/27
x³-1/x³-30/3=1000/27
x³-1/x³-10=1000/27
x³-1/x³=1000/27+10
x³-1/x³=1000+270/27
x³-1/x³=1270/27
THIS IS 11TH ANSWER
14)A.
a-b=7
do cubing on both sides
(a-b)³=(7)³
a³-b³-3ab(a-b)=343
133-3ab(7)=343
-21ab=343-133
-21ab=210
ab= -10
_______
a-b=7
do squaring on both sides
(a-b)²=7²
a²+b²-2ab=49
a²+b²-2×-10=49
a²+b²+20=49
a²+b²=49-20
a²+b²=29
_________
13)A.
the two numbers be X and Y
x+y=11; x³+y³=737
(x+y)³=(11)³
x³+y³+3xy(x+y)=1331
737+3xy(11)=1331
33xy=1331-737
33xy=594
xy=18
____
(x+y)²=(11)²
x²+y²+2xy=121
x²+y²+2×18=121
x²+y²+36=121
x²+y²=121-36
x²+y²=85
sums of square is equal to 85
Similar questions
Social Sciences,
7 months ago
Math,
7 months ago
Social Sciences,
1 year ago
English,
1 year ago
Chemistry,
1 year ago
Physics,
1 year ago