Solve the quadratic equation 9xsquare + 6x = 4 by using quadratic formula
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EXPLANATION.
Quadratic equation.
⇒ 9x² + 6x = 4.
As we know that,
⇒ 9x² + 6x - 4 = 0.
D = Discriminant Or b² - 4ac.
⇒ D = (6)² - 4(9)(-4).
⇒ D = 36 + 144.
⇒ D = 180.
As we know that,
Formula of :
⇒ x = - b ± √b² - 4ac/2a.
⇒ x = - b ± √D/2a.
Put the values in the equation, we get.
⇒ x = - 6 ± √180/2 x 9.
⇒ x = - 6 ± 6√5/18.
⇒ x = 6(-1 ± √5)/18.
⇒ x = - 1 ± √5/3.
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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