Quadratic Equations Long Questions (Question 8 – 10)

Question 8:
Solve the following quadratic equation:
4x (x + 4) = 9 + 16x

Solution:
4x(x+4)=9+16x4x2+16x=9+16x   4x29=0(2x)232=0(2x+3)(2x3)=02x+3=0     or     2x3=0     2x=3                2x=3       x=32                 x=32   


Question 9:
Solve the following quadratic equation:
(x + 2)2 = 2x + 7

Solution:
(x+2)2=2x+7x2+4x+4=2x+7x22x3=0(x+1)(x3)=0x+1=0     or     x3=0     x=1                 x=3


Question 10:
Solve the following quadratic equation:
23x5=x3x1

Solution:
              23x5=x3x1         2(3x1)=x(3x5)              6x+2=3x25x3x25x+6x2=0         3x2+x2=0   (3x2)(x+1)=03x2=0     or     x+1=0     3x=2                  x=1       x=23                 x=1