Question

solve by completing squard method.... x²-15x+54=0​

Answer 1

Answer:

This is a problem of quadratic equation.

Explanation:

First u have to solve-

x²-15x+54 into a product value by middle term factorization.

Procees Of Middle Term Factorization:

We see that the constant no. is 54 and the coefficient of the square no. is 1.

So, we have to multiply them.

Therefore, its ans will come as 54.

Now as the process we have to break (-15x) into Addents whose product will he 54.

Therefore, the RHS equation will result like this-

x²-15x+54

= x²-6x-9x+54

Now take commons

= x(x-6)-9(x-6)

= (x-6)(x-9)

Now onto the equation:-

=》 (x-6)(x-9)=0

=》 Therefore, (x-6)=0 (x-9)=0

=》 x=6 =》 x=9

So the two values of x can be 6 and 9

Hope the answer helped :)