Question

The solution of the quadratic equation x square - 4 x + 4​

Answer 1

`\rm x = 2 , 2`

Explanation:

A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,

`\implies x^2 -4x + 4 = 0`

Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,

`\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2`

Hence the Solution of the equation is 2,2.

Answer 2

Explanation:

x² - 4x +4 = 0

Factorization method:

Sum = -4

Product = 4

Factor = (-2) ; (-2) {-2 * -2 = 4 & (-2) + (-2) = -4}

x² -4x + 4 = 0

x² - 2x - 2x + (-2)*(-2) = 0

x(x - 2) - 2 (x - 2) = 0

(x - 2) (x - 2) = 0

x - 2 = 0 or x -2 = 0

x = 2 or x = 2

x = 2 , 2