The roots of the equation x2
-3x-10=0 are
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EXPLANATION.
Roots of the quadratic equation.
⇒ x² - 3x - 10 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ x² - 5x + 2x - 10 = 0.
⇒ x(x - 5) + 2(x - 5) = 0.
⇒ (x + 2)(x - 5) = 0.
⇒ x = - 2 and x = 5.
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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