Question

Keen Eye: 

• A polynomial equation has at least one root. 
• A polynomial equation of degree V has n roots. Solve each of the following equations: 

(i) x²  + 2 = 0 

(ii) x²  + 3 = 0 

(iii) x²  + x +1 = 0 

(iv) 2x²  + x +1 = 0 

(v) x²  + 3x + 9 = 0 

(vi) -x²  + x – 2 = 0 

(vii) x²  + 3x + 5 = 0 

(viii) x²  – x + 2 = 0 

Answer 1

(i) x² + 2 = 0

⇒ x² = - 2