Question

Using completing the square method , show that the equation x^2-8x+18=0 has no solution ​

Answer 1

Refer the attachment for the answer.

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Let's see how to use completing square method.

For solving such quadratic equations by this method, proceed as follows :

1. Write the given equation in ax^2 + bx + c = 0 form.

2. Considering the first two terms on L.H.S, find the third suitable square term to make the polynomial a perfect sqaure.

3. Add the square term and subtract the same.

4. Write the square of the first three terms and the last two terms.

5. Factorize and equate each factor to zero.

6. Finally, find the value of x.

Hence, This are the steps for completing square method.

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Answer 2

I think the following solution will help you.