4x^2 + y^2 = 25 and xy = 6. I made y = 6/ x and got the equation : 4x^2 +( 6 / x )^2 = 25. I thought i could then make it 4x ^ 2 + 36 / x^2 = 25. Is that correct so far or completely wrong?
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Originally Posted by Mathematix 4x^2 + y^2 = 25 and xy = 6. I made y = 6/ x and got the equation : 4x^2 +( 6 / x )^2 = 25. I thought i could then make it 4x ^ 2 + 36 / x^2 = 25. Is that correct so far or completely wrong? ...etc.
Originally Posted by Mathematix 4x^2 + y^2 = 25 and xy = 6. I made y = 6/ x and got the equation : 4x^2 +( 6 / x )^2 = 25. I thought i could then make it 4x ^ 2 + 36 / x^2 = 25. Is that correct so far or completely wrong? That's correct thus far. As long as you can multiply through by Both of those factors can be further factored using the difference of two squares to give x values. Don't forget to check for extraneous solutions at the end if you use this method
^ I got to that point earlier but didn't continue to calculate it, because I thought it was wrong. I understand now, got the correct values for x and y. Thanks!
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