Question

Quadratic formula method a)2x²-5x+3=0

Answer 1

$2x^2-5x+3=0\\\\a=2\\\\b=-5\\\\c=3\\\\D=b^2-4ac\\\\D=(-5)^2-4*2*3\\\\D=25-24\\\\D=1\\\\x=\frac{-b+\sqrt{D} }{2a}\\ \\or\\\\x=\frac{-b-\sqrt{D} }{2a}$

x = ( -(-5) ± √1 ) / 2 × 2

x = ( 5 ± 1 ) / 4

(i) x = ( 5 + 1 ) / 4 = 6 / 4 =  ³/₂

(ii) x = ( 5 - 1 ) / 4 = 4 / 4 = 1