Saturday

January 31, 2015

January 31, 2015

Posted by **Tom** on Friday, November 9, 2012 at 1:50pm.

y^2− 4x^2 = 7

9y^2+16x^2 = 323

- Algebra -
**Reiny**, Friday, November 9, 2012 at 3:33pmfrom the 1st: y^2 = 4x^2 + 7

into the 2nd

9(4x^2 + 7) + 16x^2 = 323

36x^2 + 63 + 16y^2 = 323

52y^2 = 260

y^2 = 5

y = ± √5

sub y^2 = 5 into the 1st:

5 - 4x^2 = 7

-4x^2 = -2

x^2 = 1/2

x = ± 1/√2

4 solutions:

x=√5, y= 1/√2

x = -√5, y = 1/√2

x = √5, y = -1/√2

x = -√5 , y = -1/√2

your graph would show an ellipse intersecting with a hyperbola, with 4 symmetric points of intersection

**Answer this Question**

**Related Questions**

Algebra - I just cannot seem to get these two problems. Any help is greatly ...

algebra - Solve the system by addition or substitution. 16x-4y=20 y=4x-4 I ask ...

Algebra - There are two solutions to | 16x - 5 | = 3. The greatest solution is ...

Math - PreCalc (12th Grade) - Which rectangular equation corresponds to these ...

math - Solve the following equation. 16x^2 − 16x + 4 = 0 x = 1 (smaller ...

algebra 1 - solve by substitution. 0.5x+0.25y=36 y+18=16x

calculus - i need to find the derivative using chain rule: (x^2 + 2x - 6)^2 (1-x...

Substitution Method-Plz help - Use the Substitution method to solve the system ...

ALGEBRA - Bill is solving the equation 26x−21(6x+51)=40(11x+139). The ...

Math - 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13 Answer Multiply factors. -15x - 10...