Question

Solve for x.
x^ - 12x + 36 = 0​

Answer 1

Answer:

x = 6

Step-by-step explanation:

Given a quadratic equation such that

${x}^{2} - 12x + 36 = 0$

To find the value of x

We need to factorise the given equation.

We will use middle term splitting method for this process.

In this method, we have to split the middle term into two terms such that their product will be equal to the product of the first and last terms.

Therefore, we will get,

$= > {x}^{2} - 6x - 6x + 36 = 0 \\ \\ = > x(x - 6) - 6(x - 6)3 = 0 \\ \\ = > (x - 6)(x - 6) = 0 \\ \\ = > {(x - 6)}^{2} = 0 \\ \\ = > x - 6 = 0 \\ \\ = > x = 6$

Hence, the required value of x = 6.