Question

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. ​

Answer 1

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.

Answer 2

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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