Loading [MathJax]/jax/output/CommonHTML/jax.js

1.6.3 Quadratic Equations, SPM Paper 2 (Long Questions)


Question 9:
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=32x=3   x=32 x=32   


Question 10:
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 11:
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


Question 12:
Solve the following quadratic equation:
5x+3x212x=6

Solution:
5x+3x212x=65x+3x2=612x3x2+5x+12x6=03x2+17x6=0(3x1)(x+6)=03x1=0 or  x+6=0 3x=1   x=6   x=13  x=6

2 thoughts on “1.6.3 Quadratic Equations, SPM Paper 2 (Long Questions)”

Leave a Comment