Find the nature of roots of the quadratic equation x^2-4x+3√2=0
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EXPLANATION.
Quadratic equation.
⇒ x² - 4x + 3√2 = 0.
As we know that,
⇒ D = Discriminant Or b² - 4ac.
⇒ D = (-4)² - 4(1)(3√2).
⇒ D = 16 - 12√2.
⇒ D = 16 - 12 x 1.41.
⇒ D = 16 - 16.970.
⇒ D = -0.97056.
D < 0 Roots are imaginary and unequal.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) = Real and unequal, 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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Step-by-step explanation:
. The HCF of least prime number and the least composite number is
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