x² + 5x + 2 = 0

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.4: Graphs Of Quadratic Equations: The Discriminant
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can you please answer #3 and show work

Find the discriminant of the quadratic equation and give the number and type
of solutions of the equation.
x² + 5x + 2 = 0
x² + 2x + 5 = 0
4x² – 4x + 1 = 0
-2x² + 3x – 7 = 0
9x² + 12x + 4 = 0
5x² – x – 13 = 0
BASKETBALL A basketball player passes the ball to a teammate who
catches it 11 ft above the court, just above the rim of the basket, and slam-dunks
it through the hoop. (This play is called an “alley-oop.") The first player releases
the ball 5 ft above the court with an initial vertical velocity of 21 ft/sec. How
long is the ball in the air before being caught, assuming it is caught as it rises?
1
Transcribed Image Text:Find the discriminant of the quadratic equation and give the number and type of solutions of the equation. x² + 5x + 2 = 0 x² + 2x + 5 = 0 4x² – 4x + 1 = 0 -2x² + 3x – 7 = 0 9x² + 12x + 4 = 0 5x² – x – 13 = 0 BASKETBALL A basketball player passes the ball to a teammate who catches it 11 ft above the court, just above the rim of the basket, and slam-dunks it through the hoop. (This play is called an “alley-oop.") The first player releases the ball 5 ft above the court with an initial vertical velocity of 21 ft/sec. How long is the ball in the air before being caught, assuming it is caught as it rises? 1
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