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Compute the discriminant. Then determine the number and type of solutions for the given equation.?
Compute the discriminant. Then determine the number and type of solutions for the given equation.
x2 - 4x + 3 = 0
0; one real solution
-28; no real solution
4; one real solution
4; two unequal real solutions
3 Answers
- AdmireLv 78 years agoFavorite Answer
In ax^2 + bx + c = 0
Discriminant = b^2 - 4ac
In x^2 - 4x + 3 = 0
Discriminant = -4^2 - 4*1*3 = 16 - 4 = 12
Since b^2 - 4ac is greater than 0, there are two real distinct roots (two unequal real solutions)
- 8 years ago
B^2-4ac, b=-4, a=1, c=3. Disc =4 . 2 distinct solutions, of course real!
Source(s): I was paying attn in my algebra class. - sombraLv 78 years ago
x²-4x+3=0
d=V(-4)²-4*1*3)
d=V16-12
d=V4
d=+ou-2
x'=(4+2):2
x'=6/2
x'=3
x"=(4-2):2
x"=2/2
x"=1