Question

Determine the nature of the roots: 5x^2+20x+20=0
a.

no real solutions

c.

cannot be determined
b.

a unique real solution

d.

two distinct real solutions

Answer 1

5x²+20x+20=0
5(x²+4x+4)=0
5(x+2)(x+2)=0
x+2=0
x= -2

b.
a unique real solution

Answer 2

$5x^{2}+20x+20=9 \\ \\ \Delta=20^{2}-4*5*20=400-400=0$

a unique real solution

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