Show that x = -1 is a zero of quadratic equation x2– 2x – 3 = 0
The value of x2– 2x – 3 at x =-1 is −12 – 2 × (-1) – 3 = 0
For x = -1, LHS = RHS
Hence, x = -1 is a zero of quadratic polynomial x2 – 2x – 3.
Write the discriminant of the following quadratic equations: (i) 2x2−5x+3=0 (ii) x2+2x+4=0 (iii) (x−1)(2x−1)=0 (iv) x2−2x+k=0,kϵR (v) √3x2+2√2x−2√3=0 (vi) x2−x+1=0