Question

Can you explain how to do no.3 c??Solve only Question 3(iii)

Answer 1

x = 3

Step-by-step explanation:

Given:

`x^2-6x+9=0`

To find:

The value of x

To solve the given equation, we have to split the middle term using two factors of 9 whose sum is -6 and these factors are -3 and -3;

`\begin{gathered} x^2-3x-3x+9=0 \\ x(x-3)-3(x-3)=0 \\ (x-3)(x-3)=0 \end{gathered}`

Let's go ahead and solve for x;

`\begin{gathered} x-3=0 \\ x=3 \end{gathered}`

So the solution of the equation is x = 3