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miv72 [106K]
3 years ago
15

Which two values of x are roots of the polynomial below? x2 + 5x + 7

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0
To find roots we need to solve the equation
x² +5x+7=0
a=1, b=5, c=7

D= b² - 4ac = 25 -4*1*7= 25 - 28 =-3
Because the D<0, there are no real roots, only imaginary roots.

x= \frac{-b+/- \sqrt{D} }{2a} &#10;\\ \\x= \frac{-5+/- \sqrt{-3} }{2*1}&#10;\\ \\ x=-2.5+ \frac{ \sqrt{3} }{2}i &#10;\\ \\x=-2.5- \frac{ \sqrt{3} }{2}i
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