Question

solve by using formula 3x square -7x-6=0​

Answer 1

EXPLANATION.

Quadratic equation.

⇒ 3x² - 7x - 6 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ 3x² - 9x + 2x - 6 = 0.

⇒ 3x(x - 3) + 2(x - 3) = 0.

⇒ (x + 2)(x - 3) = 0.

⇒ x = -2 and x = 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 unequal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.