Find the roots of quadratic equation x2 - 4x + 4 = 0 using the quadratic formula.
2,2
Given, equation is x2 – 4x + 4 = 0.
For the standard form of quadratic equation ax2 + bx + c = 0, roots are −b±√b2−4ac2a.
Here, a=1,b= –4,c=4
∴ Roots of the quadratic equation x2 – 4x + 4 = 0 is:
x=−b±√b2−4ac2a =−(−4)±√(−4)2−4×1×42
=4±√16−162
=(4±0)/2
=2,2