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Welcome to Microsoft Community.
We understand that you have a problem that Windows cannot be updated with error code 0x800705b4. What is your system version? Is it Windows 10 or Windows 11? Before that, you can try the following scheme:I. Troubleshooting Running Windows Updates1. Click the Start button, and then click Settings (gear icon).2. Select Update and Security.3. Select Troubleshooting from the menu on the left.4. Click Windows Update, and then click Run Troubleshooting. Follow the instructions on the screen.II. reset the Windows update component1. Open a command prompt (run as administrator):Press Win+X and select the command prompt (Administrator).2. Enter the following commands in turn at the command prompt, and press Enter after each line (these commands will stop the Windows update service, rename some folders, and then restart the update service):net stop wuauservnet stop cryptSvcnet stop bitsnet stop msiserverren C:\Windows\SoftwareDistribution SoftwareDistribution.oldren C:\Windows\System32\catroot2 catroot2.oldnet start wuauservnet start cryptSvcnet start bitsnet start msiserver3. Then restart the computer to check the update to see if the fault is eliminated.III. Try to repair the system1. Search CMD, find the command prompt, and choose to run in administrator mode.2. Enter the following commands one by one. Please be sure to execute the next command after the last one is completed.DISM /Online /Cleanup-Image /ScanHealthDISM /Online /Cleanup-Image /CheckHealthDISM /Online /Cleanup-Image /RestoreHealthSFC /Scannow3. After scanning, you can check the scanning information, and check whether the problem has been detected and fixed.IV. Check and close conflicting softwareDisable antivirus software or any third-party security software, and then try running Windows Update again.Ensure that there are no other large downloads or software updates in progress to avoid interfering with Windows updates.
Disclaimer: Temporarily turn off antivirus protection. However, keep in mind that if you do so, your device may be vulnerable to threats. So please turn it on immediately once issue fixed. If the above scheme can't solve your problem, please provide your system version (Windows 10 or Windows 11), and we will provide you with the steps of on-site upgrade. Thank you for your understanding and cooperation! I wish you all the best!
Best Regards
Nicholas.Z - MSFT | Microsoft Community Support Specialist