The roots of the equation x² + kx +16= 0 are equal , then the value of k is
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The value of k is 8.
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EXPLANATION.
Roots of the equation.
⇒ x² + kx + 16 = 0. are equal.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ For real and equal roots : D = 0.
⇒ (k)² - 4(1)(16) = 0.
⇒ k² - 64 = 0.
⇒ k² = 64.
⇒ k = √64.
⇒ k = ± 8.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) = Real and unequal, if b² - 4ac > 0.
(2) = Rational and equal, 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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