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Thejollyhellhound20
21.12.2021 •
Mathematics
HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots
Solved
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Ответ:
We are given –
![\qquad](/tpl/images/2602/2800/a4c19.png)
![\twoheadrightarrow\bf x² -4x +4 = 0](/tpl/images/2602/2800/8c83c.png)
Where, a = 1 ; b = -4 ; c = 4Let's find it's discriminant.
We know –
![\qquad](/tpl/images/2602/2800/a4c19.png)
![\purple{\twoheadrightarrow\sf Discriminant =0 }](/tpl/images/2602/2800/41200.png)
If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.As we got –
Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.Ответ:
yes
Step-by-step explanation: