4x – 2y = 2 x = y + 4
1 answer:
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We have the roots 1/2 and 4/3 and we need to write a quadratic equation of the form 
using those roots. Since we know that 1/2 and 4/3 are roots of our quadratic, we can equate each root to 
and factor backwards:
and 
and 
and 
Now we can multiply the left sides of our equations to get our quadratic:
W can conclude that the quadratic equation with roots 1/2 and 4/3 is
.
Now we can multiply the left sides of our equations to get our quadratic:
W can conclude that the quadratic equation with roots 1/2 and 4/3 is