1.

For what value of k the roots of the equation X2+4x+k=0 has equal roots​

Answer»

EXPLANATION.

To find value of K of the roots of the EQUATION,

⇒ x² + 4x + k = 0.

As we know that,

D = Discriminant  Or  b² - 4ac.

D = 0 Roots are real and equal.

⇒ b² - 4ac = 0

⇒ (4)² - 4(1)(k) = 0.

⇒ 16 - 4k = 0.

⇒ 4k = 16.

⇒ k = 4.

                                                                                                                     

MORE INFORMATION.

Nature of the factors of the quadratic expression.

(1) = Real AD different, 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.


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