Question

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, square that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.

Answer 1

NO it is not correct

Explanation:

Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

Answer 2

No, it is incorrect.

Explanation:

The quadratic equation is

`x^2+6 = 20x` or
`x^2-20x+6=0`. To complete square we take the coefficient of x divided by 2, square that value and add the result to both sides. In the equation given the number to do the process is 20, not 6, then the solution method is incorect.