Question

Solve the quadratic equation 9xsquare + 6x = 4 by using quadratic formula​

Answer 1

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.