Depending on the year, the Regal could have a relay to control the high beams. Check the distribution box under the hood to see if there is a bad headlight relay.
It may be simply that you were running with only one low beam instead of 2 and both are now burned out. If not, then the high beam switch or relay went bad.
pull it toward you rather than pushing it forward
check the fuses then check high/low beam switch
Its the multiuse switch on the high beam/turn signal indicator. You can get a new switch installed for about $400.
Check the blower resister
Could be damaged wiring or corroded connections. Also check the fuses. Some vehicles have a seperate fuse for high and low beam and left or right side headlamps.
it;s design that way
The headlight has two filaments. One for the high beam and one for the low beam. The most likely reason the high beam is out is because the high beam filament is broken. Replace the bulb and it should fix it.
The fuel pressure should be between 40 and 70 psi on a 96 Buick Regal with a 3.8. If the fuel pressure is above 70, then it is to high and should be checked out by a trusted mechanic.
Low beam bulb is burnt out. Replace it.
Check fuse # 16 - 20 amp - for Hi Beam Headlamps and Hi Beam Indicator
Any major brand 10w30 high detergent oil.