4/3x^2-2x +2=0
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EXPLANATION.
Quadratic equation.
⇒ 4x²/3 - 2x + 2 = 0.
As we know that,
Simplify the equation, we get.
⇒ 4x² - 6x + 6/3 = 0.
⇒ 4x² - 6x + 6 = 0.
Taking 2 as common, we get.
⇒ 2(2x² - 3x + 3) = 0.
⇒ 2x² - 3x + 3 = 0.
As we know that,
⇒ D = Discriminant or b² - 4ac.
⇒ D = (-3)² - 4(2)(3).
⇒ D = 9 - 24.
⇒ D = -15.
⇒ α = - b + √D/2a.
⇒ α = -(-3) + √-15/2(2).
⇒ α = 3 + √-15/4.
⇒ β = - b - √D/2a.
⇒ β = -(-3) - √-15/2(2).
⇒ β = 3 - √-15/4.
In this equation D < 0 It means Roots are imaginary.
MORE INFORMATION.
Conjugate roots.
(1) = If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) = If D > 0.
One roots = α + √β.
Other roots = α - √β.
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