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QUADRATIC EQUATIONS – 50 SHORT QUESTIONS WITH SOLUTIONS
x² − 5x + 6 = 0 Solution: x = 2, 3 2 2x² + 7x − 4 = 0 Solution: x = 1/2, − 3 3x² − 12x + 9 = 0 Solution: x = 1, 3 4 x² + 4x + 3 = 0 Solution: x = −1, − 5 5x² − x − 6 = 0 Solution: x = 6/5, − 6 x² − 9x + 20 = 0 Solution: x = 4, 5 7 2x² − 3x − 2 = 0 Solution: x = 2, −1/ 8 x² + x − 12 = 0 Solution: x = 3, − 9 4x² − 4x − 3 = 0 Solution: x = (1 ± √4 + 12)/2 = (1 ± 4)/2 → x = 5/2, −3/ 10 x² − 2x − 8 = 0 Solution: x = 4, − 11 3x² + x − 10 = 0 Solution: x = 5/3, −
x² + 6x + 8 = 0 Solution: x = −2, − 13 2x² + 5x + 2 = 0 Solution: x = −2, −1/ 14 x² − 7x + 12 = 0 Solution: x = 3, 4 15 5x² + 3x − 2 = 0 Solution: x = 2/5, − 16 x² − 4x − 5 = 0 Solution: x = 5, − 17 3x² − 5x − 2 = 0 Solution: x = 2, −1/ 18 x² + 10x + 25 = 0 Solution: x = − 19 2x² − x − 6 = 0 Solution: x = 2, −3/ 20 x² − 3x − 10 = 0 Solution: x = 5, − 21 4x² + 4x − 3 = 0 Solution: x = (−1 ± √1 + 3)/2 = (−1 ± 2)/2 → x = 1/2, −3/ 22 x² + 2x − 15 = 0 Solution: x = 3, − 23 3x² + 7x + 2 = 0 Solution: x = −2, −1/
x² − 11x + 24 = 0 Solution: x = 3, 8 37 2x² + 3x − 5 = 0 Solution: x = 1, −5/ 38 x² + 4x − 21 = 0 Solution: x = 3, − 39 5x² + x − 6 = 0 Solution: x = 1, −6/ 40 x² − 12x + 36 = 0 Solution: x = 6 41 3x² + 2x − 1 = 0 Solution: x = 1/3, − 42 x² − 13x + 40 = 0 Solution: x = 5, 8 43 2x² − 9x + 4 = 0 Solution: x = 4, 1/ 44 x² + 3x − 18 = 0 Solution: x = 3, − 45 4x² − x − 5 = 0 Solution: x = 5/4, − 46 x² − 14x + 49 = 0 Solution: x = 7 47 3x² − 4x − 4 = 0 Solution: x = 2, −2/
x² + x − 20 = 0 Solution: x = 4, − 49 2x² − 5x + 2 = 0 Solution: x = 2, 1/ 50 x² − 15x + 54 = 0 Solution: x = 6, 9
Opp = 3, Adj = 4, find θ. Solution: 36.87° 13 sin θ = 0.9, find θ. Solution: 64.16° 14 cos θ = 0.1, find θ. Solution: 84.26° 15 tan θ = 2, find θ. Solution: 63.43° 16 Opp = 8, Hyp = 17, find θ. Solution: 28.07° 17 Adj = 15, Hyp = 17, find θ. Solution: 28.07° 18 Opp = 7, Adj = 24, find θ. Solution: 16.26° 19 sin θ = 0.2, find θ. Solution: 11.54° 20 cos θ = 0.95, find θ. Solution: 18.19° 21 tan θ = 0.2, find θ. Solution: 11.31° 22 Opp = 12, Hyp = 13, find θ. Solution: 22.62° 23 Adj = 4, Hyp = 5, find θ. Solution: 36.87°
Opp = 1, Adj = 1, find θ. Solution: 45° 25 sin θ = 0.7, find θ. Solution: 44.43° 26 cos θ = 0.4, find θ. Solution: 66.42° 27 tan θ = 3, find θ. Solution: 71.57° 28 Opp = 2, Hyp = 3, find θ. Solution: 41.81° 29 Adj = 5, Hyp = 8, find θ. Solution: 51.32° 30 Opp = 6, Adj = 8, find θ. Solution: 36.87° 31 sin θ = 0.75, find θ. Solution: 48.59° 32 cos θ = 0.6, find θ. Solution: 53.13° 33 tan θ = 0.75, find θ. Solution: 36.87° 34 Opp = 10, Hyp = 26, find θ. Solution: 22.62° 35 Adj = 9, Hyp = 15, find θ. Solution: 53.13°
Opp = 15, Adj = 36, find θ. Solution: 22.62° 49 sin θ = 0.65, find θ. Solution: 40.54° 50 cos θ = 0.55, find θ. Solution: 56.57°
