the discriminant of a quadratic equation x^2-5x+3=0 ɪꜱ
ᴀ. 25
ʙ. 20
ᴄ. 13
ᴅ. -13
ɢᴜyꜱ ᴩʟꜱ ʜᴇʟᴩ ᴍᴇ ʀᴇɢᴀʀᴅɪɴɢ ᴛʜɪꜱ qᴜᴇꜱᴛɪᴏɴ.
Answers
Answered by
37
EXPLANATION.
Discriminant of quadratic equation.
⇒ x² - 5x + 3 = 0.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = (-5)² - 4(1)(3).
⇒ D = 25 - 12.
⇒ D = 13.
Option [C] is correct answer.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) = Real and unequal, if b² - 4ac > 0.
(2) = Rational and different, if b² - 4ac is a perfect square.
(3) = Real and equal, if b² - 4ac = 0.
(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.
Answered by
15
Given :-
x² - 5x + 3 = 0
To Find :-
Discriminant
Solution :-
We know that
D = b² - 4ac
b = -5
a = 1
c = 3
D = (-5)² - 4 × 1 × 3
D = (-5 × -5) - 4 × 3
D = 25 - 12
D = 12
Hence
Option ᴄ. 13 ɪꜱ correct
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