if the zero of the polynomial 2xsquare-3x+p is 3 , then the other zero and the value of p is what
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( p(x)=2 x^{2}-3 x+p=0 ) ( p(3)=2(3)^{2}-9+p=0 ) ( p=-9 ) ( 2 x^{2}-3 x+9=0 ) ( 2 x^{2}-6 x+3 x-9=0 ) ( (2 x+3)(x-3)=0 ) Other ( 2 e r 0=frac{-3}{2} ) value of ( p=-9 )
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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
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