Question

are the roots of quadratic equation x² - 4x + 4 = 0.

• A. 1,2
• B. 2,2
• C. 3,2

Answer 1

The correct option is B 2,2

Given, equation is x² – 4x + 4 = 0.

For the standard form of quadratic equation ax² + bx + c = 0, roots are $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$.

Here, $a=1,b=–4,c=4$

$\therefore$ Roots of the quadratic equation x² – 4x + 4 = 0 is:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-4)\pm \sqrt{(-4{)}^2-4\times 1\times 4}}{2}$

$=\frac{4\pm \sqrt{16-16}}{2}$

$=(4\pm 0)/2$

$=2,2$