Question

what is the nature of the root of the qudratic equation 2x^2-3x+5=0​

Answer 1

EXPLANATION.

Quadratic equation.

⇒ 2x² - 3x + 5 = 0.

As we know that,

⇒ D = Discriminant Or b² - 4ac.

⇒ D = (-3)² - 4(2)(5).

⇒ D = 9 - 40.

⇒ D = -31.

⇒ D < 0 Roots are imaginary.

                                                                                                                         

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

Answer⤵️

Given:

• Given equation 2x² – 3x + 5 = 0

Formula:

• ax²+ bx + c = 0

• a= 2
• b=(-3)
• c=5

Solution:

• Discriminant (D) = b² – 4ac

$= ( { - 31)}^{2} - 4 \times 2 \times 5 \\ = 9 - 40 \\ = - 31 < 0$

Thus, the given equation has no real root.

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