Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ

Question

DanielleElmas

3 months ago

8

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ

are that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.

Mathematics

1 answer:

Svet_ta [12.7K] · Answer 1 · 2026-02-24T03:38:27+03:00

Answer: Adiya's approach is incorrect. To construct a perfect square trinomial, one must isolate the constant on one side of the equation. The coefficient of the term with an exponent of 1 regarding the variable is essential to calculate the constant in the perfect square trinomial. The first step for Adiya should be to reposition the 20x term to the same side of the equation as x2. Then, she should divide 20 by 2, square that result, and add 100 to both sides.