Question

find the nature of roots of quadratic equations 2x^2-2√6x+3=0​

Answer 1

EXPLANATION.

Nature of roots of quadratic equation.

2x² - 2√6x + 3 = 0.

As we know that,

D = discriminant Or b² - 4ac.

Put the value in the equation, we get.

⇒ D = (-2√6)² - 4(2)(3).

⇒ D = 24 - 24.

⇒ D = 0.

Nature of Roots are real and equal.

                                                                                                             

MORE INFORMATION.

D = discriminant Or b² - 4ac.

(1) If D < 0.

One roots : α + iβ.

Other roots : α - iβ.

(2) If D > 0.

One roots : α + √β.

Other roots : α - √β.