Not sure I understand the question. It will work with any CPU, what's important is can the power supply support the card and can it physically fit in the case. If you have an i5 you should have the proper PCI-e slot on the motherboard.
The only issue you'd have with a CPU would be putting a low end CPU with a high-end GPU. The CPU couldn't keep up and the card would not work to its full potential.
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