Discuss the natural roots of the equation 15x×x+11x+2=0
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EXPLANATION.
Nature of the roots of the quadratic equation.
⇒ 15x² + 11x + 2 = 0.
As we know that,
⇒ D = discriminant Or b² - 4ac.
Put the values in the equation, we get.
⇒ D = (11)² - 4(15)(2).
⇒ D = 121 - 120.
⇒ D = 1.
D > 0 : Roots are real and unequal.
MORE INFORMATION.
Nature of the roots of quadratic expressions.
(1) Roots are real and unequal, if b² - 4ac > 0.
(2) Roots are rational and different, if b² - 4ac is a perfect square.
(3) Roots are real and equal, if b² - 4ac = 0.
(4) If D < 0 Roots are imaginary and unequal Or complex conjugate.
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