Back to Equation of a circle (standard form, completing the square) — Problem 3 · Task Set 8

Equation of a Circle — Practice Set

Grade 10·21 problems·~40 min·Digital SAT Math·topic·sat-geotrig-circ-eq
Work through problems with immediate feedback
A

Recall / Warm-Up

1.

To complete the square on x28xx^2 - 8x: take half of 8-8, which is   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   , then square it to get   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .
Add this to get (x - \\_\\_\\_)^2.

half coefficient:
square of half:
value in factored form: