factorize the following it's urgent
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EXPLANATION.
Factorizes.
⇒ 5x² - 17x - 12 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ 5x² - 20x + 3x - 12 = 0.
⇒ 5x(x - 4) + 3(x - 4) = 0.
⇒ (5x + 3)(x - 4) = 0.
⇒ x = - 3/5 and x = 4.
MORE INFORMATION.
Nature of the roots of the quadratic expression.
(1) = Real and unequal, if b² - 4ac > 0.
(2) = Rational and unequal, 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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