Without solving, examine the nature of roots of the equation.
4x2 – 4x + 1 = 0 [2 MARKS]
Concept : 1 Mark
Application :1 Mark
Given equation is,
4x2–4x+1=0
⇒a=4,b=−4,c=1
Value of discriminant is
D=b2−4ac
⇒D=(−4)2–4(4)(1)
⇒D=16−16=0
Since D =0,
Roots of quadratic equation are real and equal.