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Mathematics 17 Online
OpenStudy (anonymous):

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OpenStudy (ranga):

the second equation is not clear. can you use the Equation button below the reply box and retype the second equation

OpenStudy (anonymous):

1 divided by 32 times x squared

OpenStudy (ranga):

the times looks like x. use * instead.

OpenStudy (ranga):

x^2 +4y^2 = 100 (1) y = x^2/32 (2) cross multiply (2) 32y = x^2 put x^2 = 32y in (1) 32y + 4y^2 = 100 4y^2 + 32y - 100 = 0 divide each term by 4 y^2 + 8y - 25 = 0 solve the quadratic equation.

OpenStudy (ranga):

do you know how to solve quadratic equation?

OpenStudy (ranga):

Use this formula to solve for y: \[\Large \frac{ -b \pm \sqrt{b ^{2} - 4ac} }{ 2a }\]

OpenStudy (ranga):

yes.

OpenStudy (ranga):

+2.4 is correct.

OpenStudy (anonymous):

so plugging that into the first equation I get 8.7,2.4

OpenStudy (ranga):

yes.

OpenStudy (ranga):

but your negative y above was wrong.

OpenStudy (ranga):

yes.

OpenStudy (ranga):

Yes. Coefficients of x^2 and y^2 have opposite signs and that means it is a hyperbola.

OpenStudy (ranga):

you are welcome. you too. :)

OpenStudy (anonymous):

k

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