5 The roots of the equation x² + x - 12=0 are
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Answered by
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EXPLANATION.
Roots of the equation.
⇒ x² + x - 12 = 0.
As we know that,
Factorizes the equation into middle term splits, we get.
⇒ x² + 4x - 3x - 12 = 0.
⇒ x(x + 4) - 3(x + 4) = 0.
⇒ (x - 3)(x + 4) = 0.
⇒ x = 3 and x = - 4.
MORE INFORMATION.
Conjugate roots.
Discriminant = Denoted as ''D''.
Formula of Discriminant :
⇒ D = b² - 4ac.
(1) If D < 0.
One roots = α + iβ.
Other roots = α - iβ.
(2) If D > 0.
one roots = α + √β.
Other roots = α - √β.
Answered by
3
⇒ x² + x - 12 = 0
⇒ x² + 4x - 3x - 12 = 0
⇒ x(x+4) - 3(x+4) = 0
⇒ (x+4)(x-3) = 0
⇒ x = 3 , -4
Roots are : 3 , -4
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