Solving Quadratic Equations
Solve equation by graphing: x2 + 3x + 2 = 0
x=-2 x=-1
Simplify the following expression: (7 - 4i) - (-3 + 6i)
10 - 10i
Solve by completing the square: x2 + 6x - 7 = 0
x = 1, x= -7
solve the nonlinear system:
x2 + y2 = 9
y = x
(3/21/2),(3/21/2)
(-3/21/2),(-3/21/2)
Solve this quadratic inequality: x2 - 4x - 12 > 0
x < -2 or x > 6
Solve equation with quadratic formula: 0 = 2x2 + 5x - 12
x=3/2 x=-4
Multiply the complex numbers:(2 + 5i)(3 - 2i)
16 + 11i
Solve by completing the square: x2 - 5x - 6 = 0
x = 6, x = -1
solve the nonlinear system
y = x2
y = 2x
Solve this quadratic inequality: 2x2 + 3x - 5 < 0
-5/2 < x < 1
x=3 x=1/3
Multiply the complex numbers: (4 - 3i)(-2 + 5i)
7+26i
Solve by completing the square: x2 - 10x + 1 = 0
x = 5 +/- 2 * 61/2
Solve the nonlinear system:
xy = 4
y = x
(2, 2), (-2, -2)
Solve this quadratic inequality: x2 + 6x + 5 < 0
-5 < x < -1
Solve equation using the quadratic formula: 0 = 2x2 + 8x + 3
x = (-4 +/- 101/2)/2
Divide the complex numbers: (4 + 2i)/(1 - 3i)
-1/35 + 7i/5
Solve by completing the square: -3x2 + 6x - 12
x = 1 +/- i 31/2
Solve the nonlinear system:
x2 + y2 = 16
y = 0
(4, 0), (-4, 0)
Solve this quadratic inequality: -3x2 + 12x - 9 > 0
1 < x < 3
Solve the equation using the quadratic formula: x(x-2) = 4
x = 1 +/- 51/2
Simplify the expression to its simplest form: i2026 + 3i45 - i12
-2+3i
Solve by completing the square: 3x2 + 9x - 2 = 0
x = -3/2 +/- (35/12)1/2
Solve the nonlinear system
y = x2 - 1
y = 3
Solve this quadratic inequality: x2 - 9 < 0
-3 < x < 3