Question

If α and β are the roots of the equation ax2 +bx+ c = 0 find the equation whose roots 1/α & 1/β.​

Answer 1

Answer:

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Answer 2

Answer:

First, chose one of the variables to isolate.

In this case, let’s isolate x . In order to do so, we need to cancel out the y variable. Multiply the first equation by 2 and the second by 3 to get the following:

4x−6y=22

15x+6y=54

Now adding both equations would rid us of the y variable to get:

19x=76 hence x=4

Now replace x by 4 in any of the original equations:

5(4)+2y=18

20+2y=18

2y=−2

y=−1

So the answer to the equations is 4;−1