SOLUTION: y=x^2-10
9x^2-y^2=90
The solution set is?
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Question 985922: y=x^2-10
9x^2-y^2=90
The solution set is?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(53765) (Show Source): You can put this solution on YOUR website!
.
.
Substitute = - from the first equation into the second equation. You will get
- = .
Solve it:
- () = ,
- + - = ,
- + = .
It is a bi-quadratic equation. Don't be afraid ! Don't panic !
The Math gives you an opportunity to demonstrate your skills ! :)
Introduce new variable = .
Then you will get quadratic equation
- + = .
Its roots are (use the quadratic formula)
= 19, = 10.
Hence, = +/-, +/-.
Then from the first equation of the system
y = - = 19 - 10 = 9 OR y = 10 - 10 = 0.
Answer. The solutions are the pairs (x,y) = (, ), (, ), (, ) and (, ).
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
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if left sides same, then we have
............square both sides
.....both sides multiply by
....factor
zeros:
if =>=> or
if =>=> or
approximately:
or
or
for => => =>
for => => =>
for =>=>=>=> and =>
for =>=>=>=>
check:
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