Question

Find the roots of quadratic equation x² - 4x + 4 = 0 using the quadratic formula.

• A. 4, -2
• B. 2, 2
• C. -2, -2
• D. 2, 3

Answer 1

The correct option is B

2, 2

On comparing the given quadratic equation x² - 4x + 4 = 0 with standard form $a{x}^2+bx+c=0$, we get

$a=1,b=–4,c=4.$

Using the quadratic formula, we get

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

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

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

$x=\frac{4\pm 0}{2}$

$x=2,2$

Therefore, the given quadratic equation has equal roots.