Roots of Quadratic Equation Example 3 & 4

Example 3 Solve the quadratic equation 5 x 2 =3(x+2)4. Solution: 5 x 2 =3(x+2)4 5 x 2 =3x+64 5 x 2 3x2=0 ( 5x+2 )( x1 )=0 5x+2=0       or     x1=0        x= 2 5                  x=1 Example 4 Solve the quadratic equation  3x(x3) 4 =x+3. Solution: 3x(x3) 4 =x+3 3 x 2 9x=4x+12 3 x 2 5x12=0 ( 3x+4 )( x3 )=0 3x+4=0       or     x3=0        x= 4 3                  x=3