Solve the equation x² + 6x = 11/4
A.) x = 3 and 2 B.) x = 2 and 3 C.) x = 1/2 and 11/2 D.) x = 1/2 and 11/2
Nobody ever likes completing the square, so we'll go with that method!
x² + 6x = 11/4 x² + 6x + 9 = (11/4) + 9 {took half of coefficient of x, squared it, and added to each side....that completes the square} (x + 3)² = 25/4 {factored the left side and added 11/4 and 9} x + 3 = ±5/2 {took square root of each side} x = 3 ± (5/2) {subtracted 3 from each side} x = (6/2) ± (5/2) {got common denominator} x = 1/2 or 11/2 {added and subtracted, using the ± sign} D.) x = 1/2 and 11/2 Ask Algebra House Comments are closed.

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