Find all real solutions of the equation 4x2 4x10 and x4 5x2

Find all real solutions of the equation

4x² -4x+1=0

and

x⁴ -5x² +4=0

Please show all work. Thank you!

4x^2 - 4x + 1 = 0

4x^2 - 2x - 2x + 1 = 0

2x ( x - 1 ) -1 ( 2x -1 ) = 0

( 2x -1 )^2 = 0

2x -1 = 0

x = 1/2

real solution is x = 1/2

2) x^4 - 5x^2 + 4 = 0

factoring the equation

x^4 - 4x^2 - x^2 + 4 = 0

x^2 ( x^2 - 4 ) -1 ( x^2 - 4) = 0

( x^2 -1 ) ( x^2 - 4) = 0

x^2 -1 = 0

x = + - 1

x^2 - 4 = 0

x = + - 2

real soltions are

x = +1 , -1 , +2 , - 2