Question

Use the technique of completing the square to transform the quadratic equation into the form (x + c)2 = a.

2x2 – 28x + 84 = 0

Answer 1

\[\large 2x^2 – 28x + 84 = 0\]
move 84 to the other side\[\implies \large 2x^2 – 28x =- 84\]
divide everything by 2\[\implies \large x^2 – 14x =- 42\]

Answer 2

next you complet the square

Answer 3

\[\implies \Large x^2 – 14x +49=- 42+49\]

Answer 4

\[\implies \Large \left( x-7 \right)^2=7\]

Answer 5

Thank you, so much.