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x = - 8 , x = - 2

Step-by-step explanation:

x² + 10x + 16 = 0

with a = 1, b = 10 , c = 16

then using the given quadratic formula

x = $$\frac{-10+/-\sqrt{10^2-(4(1)(16)} }{2}$$

= $$\frac{-10+/-\sqrt{100-64} }{2}$$

= $$\frac{-10+/-\sqrt{36} }{2}$$

= $$\frac{-10+/- 6}{2}$$

then

x = $$\frac{-10-6}{2}$$ = $$\frac{-16}{2}$$ = - 8

x = $$\frac{-10+6}{2}$$ = $$\frac{-4}{2}$$ = - 2
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x = -2, -8.

Step-by-step explanation:

x =[(-b +/- √(b^2 - 4ac)] / 2a

x^2 + 10x + 16 = 0

Here a = 1, b = 10 and c = 16, so substituting in the formula:

x = [-10 +/- √(10^2 - 4*1*16)] / 2

= (-10 +/- √36)/2

= (-10 +/- 6)/2

= -4/2, -16/2

= -2, -8.
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