how fo solve equations
16/a^2 +9/b^2=1 and
1/a^2+16/b^2
Answers
Answer:
The second equation is incomplete
Replace 1/a^2 with x and 1/b^2 with y
Then solve it
Hope it will help you
Answer:
hi buddy
Step-by-step explanation:
Just make variable changes; let:
{ = 1/²
{ = 1/²
Your system becomes:
{ 16 + 9 = 1
{ 36 + 4 = 1
Multiply first equation by 4 and second by 9:
{ 64 + 36 = 4
{ 324 + 36 = 9
Subtracting last equation from first one:
(324 + 36) – (64 + 36) = 9 – 4
324 – 64 + 36 – 36 = 5
260 = 5
52 = 1
= 1/52
Then from first equation:
16 + 9 = 1
16/52 + 9 = 1
9 = 1 – 16/52
9 = 1 – 4/13
9 = (13 – 4)/13
9 = 9/13
= 1/13
Thus:
{ = 1/52
{ = 1/13
and:
{ ² = 1/ = 52 = (2√13)²
{ ² = 1/ = 13 = (√13)²
Thus there are four solutions to your initial system:
(; ) = (-2√13; -√13)
(; ) = (-2√13; √13)
(; ) = (2√13; -√13)
(; ) = (2√13; √13)
hope it helps ya
if there is a change in value from question to answer then pls change it, it's my keyboard problem. but the method is same.
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