1Ian FowlerBest Answer · Jun 19, 2020Square both sides and the 4's will subtract out.Square both sides again and you get a quartic .Solve by inspection to get x = 3 or x = -2Use long divisionYou will get 2 linear and 1 quadratic factorThe quadratic has no real rootsTest the 3 and -2 in the original - only 3 works.

1Ian FowlerJun 20, 2020you're right. I knew 3 was it before I started. the 10-3x was a give-away. but there could have been others so I went for it. These types of equations are usually fudged so they have an integer solution. Thanks.

Square both sides and the 4's will subtract out.

Square both sides again and you get a quartic .

Solve by inspection to get x = 3 or x = -2

Use long division

You will get 2 linear and 1 quadratic factor

The quadratic has no real roots

Test the 3 and -2 in the original - only 3 works.

you're right. I knew 3 was it before I started. the 10-3x was a give-away. but there could have been others so I went for it. These types of equations are usually fudged so they have an integer solution. Thanks.