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ax2: , bx: , c:
Expression: 1x2+ 4x + 3 = 0
D = √( b2 – 4ac ) = √( 42 – 4 * 1 * 3 ) = 2
x1 = ( –b + D )/2a = ( – 4 + 2 ) / (2 * 1) = -1
x2 = (–b – D )/2a = ( – 4 – 2 ) / (2 * 1) = -3
 

Various quadratic expressions

x2 + x + 1 = 0. Can't be solved. x2 - x + 1 = 0. Can't be solved.
x2 + x + 2 = 0. Can't be solved. x2 - x + 1 = 0, x1 = 1.618 , x2 = -0.618
x2 + 2x + 1 = 0, x1 = -1 , x2 = -1 x2 + x - 1 = 0, x1 = 0.618 , x2 = -1.618
x2 + 2x + 2 = 0. Can't be solved. x2 - 2x + 1 = 0, x1 = 1 , x2 = 1
x2 + 2x + 3 = 0. Can't be solved. x2 - 2x + 2 = 0. Can't be solved.
x2 + 3x + 1 = 0, x1 = -0.382 , x2 = -2.618 x2 - 2x - 1 = 0, x1 = 2.4142, x2 = -0.4142
x2 + 3x + 2 = 0, x1 = -1 , x2 = -2 x2 - 2x - 2 = 0, x1 = 2.7321, x2 = -0.7321
x2 + 3x + 3 = 0. Can't be solved. x2 - 2x - 3 = 0, x1 = 3, x2 = -1
x2 + 3x + 4 = 0. Can't be solved. x2 - 2x - 4 = 0, x1 = 3.2361, x2 = -1.2361
x2 + 4x + 1 = 0, x1 = -0.2679 , x2 = -3.7321 x2 + 2x - 1 = 0, x1 = 0.4142, x2 = -2.4142
x2 + 4x + 2 = 0, x1 = -0.5858 , x2 = -3.4142 x2 + 2x - 2 = 0, x1 = 0.7321, x2 = -2.7321
x2 + 4x + 3 = 0, x1 = -1 , x2 = -3 x2 + 2x - 3 = 0, x1 = 1, x2 = -3
x2 + 4x + 4 = 0, x1 = -2 , x2 = -2 x2 + 2x - 4 = 0, x1 = 1.2361, x2 = -3.2361
x2 + 4x + 5 = 0. Can't be solved. x2 - 3x + 1 = 0, x1 = 2.618, x2 = 0.382
x2 + 4x + 6 = 0. Can't be solved. x2 - 3x + 2 = 0, x1 = 2, x2 = 1
x2 + 5x + 1 = 0, x1 = -0.2087 , x2 = -4.7913 x2 - 3x + 3 = 0. Can't be solved.
x2 + 5x + 2 = 0, x1 = -0.4384 , x2 = -4.5616 x2 - 3x - 1 = 0, x1 = 3.3028, x2 = -0.3028
x2 + 5x + 3 = 0, x1 = -0.6972 , x2 = -4.3028 x2 - 3x - 2 = 0, x1 = 3.5616, x2 = -0.5616
x2 + 5x + 4 = 0, x1 = -1 , x2 = -4 x2 - 3x - 3 = 0, x1 = 3.7913, x2 = -0.7913
x2 + 5x + 5 = 0, x1 = -1.382 , x2 = -3.618 x2 - 3x - 4 = 0, x1 = 4, x2 = -1
x2 + 5x + 6 = 0, x1 = -2 , x2 = -3 x2 + 3x - 1 = 0, x1 = 0.3028, x2 = -3.3028
x2 + 5x + 7 = 0. Can't be solved. x2 + 3x - 2 = 0, x1 = 0.5616, x2 = -3.5616
x2 + 5x + 8 = 0. Can't be solved. x2 + 3x - 3 = 0, x1 = 0.7913, x2 = 3.7913
x2 + 6x + 5 = 0, x1 = -1, x2 = -5 x2 + 3x - 4 = 0, x1 = 1, x2 = -4
 
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