By using the quadratic formula.
-b +/- sqrt(b^2-4ac)/2a
a = 2
b = 8
c = 5
-8 +/- sqrt(8^2-4(2)(5))/2(2)
-8 +/- sqrt(64-40)/4
-8 +/-sqrt(24)/4
X = -0.7752551286
X = -3.224744871
my TI-84 graphing calculator confirms this.
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2x+1 = 9 2x = 9-1 2x = 8 x = 4
-x2+2x
It can not be factored because its discriminant is less than zero
2x2 + 2x = 2x(x+1)
8x = 2x + 15 6x = 15 x = 15/6 = 2.5