1.

For what value of k, the quadratic polynomial kx² + x + k has equal zeroes ?​

Answer»

EXPLANATION.

Quadratic equation.

⇒ kx² + x + k = 0.

As we know that,

⇒ D = Discriminant Or b² - 4ac.

⇒ For equal roots : D = 0.

⇒ (1)² - 4(k)(k) = 0.

⇒ 1 - 4k² = 0.

⇒ 1 = 4k².

⇒ k² = 1/4.

⇒ k = √1/4.

⇒ k = ± 1/2.

                                                                                                                           

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and 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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