x = -2.5 + 1.6583123951777i
x = -2.5 - 1.6583123951777i
where i is the square root of negative one.
10
TrUE
True
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The degree of this polynomial is 2.
There are none because the discriminant of the given quadratic expression is less than zero.
-2.5 + 1.6583123951777i-2.5 - 1.6583123951777i
You can find the roots with the quadratic equation (a = 1, b = 3, c = -5).
1
x=11+69/2 and x=11-69/2
-2 and -6
You can find the roots with the quadratic equation (a = 1, b = 3, c = -5).
None, it involves the square root of a negative number so the roots are imaginary.
To find the roots of the polynomial (x^2 + 5x + 9), we can use the quadratic formula: (x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}). Here, (a = 1), (b = 5), and (c = 9). The discriminant (b^2 - 4ac = 5^2 - 4 \cdot 1 \cdot 9 = 25 - 36 = -11), which is negative. This means the polynomial has no real roots, but two complex roots: (x = \frac{-5 \pm i\sqrt{11}}{2}).
-6 Check: -6+4-6+8 = 0
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