Question

quadratic equations
complete the following in square method
1. 3x^2-5x+2=0
2.3x^2-8x+4=0

Answer 1

1. 3x² - 5x + 2 = 0

3x² - 3x - 2x +2 = 0

3x(x - 1) - 2(x - 1)= 0

(x - 1)(3x - 2)= 0

(x - 1)= 0=> x= 1

(3x - 2)= 0=>3x=2=>x= 2/3

So, x = 1 or 2/3

2. 3x² - 8x + 4 = 0

3x² - 6x - 2x + 4 = 0

3x(x - 2) - 2(x - 2) = 0

(x - 2)(3x - 2) = 0

(x - 2) = 0=> x = 2

(3x - 2) = 0 => 3x = 2=>x = 2/3.

So, x= 2 or 2/3