Respuesta :
Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Answer:
[tex]x^2-x-6=0[/tex]
- [tex]\left(x+2\right)\left(x-3\right)=0[/tex]
- [tex]x+2=0\quad \mathrm{or}\quad \:x-3=0[/tex]
- [tex]x+2=0[/tex]
- [tex]x+2-2=0-2[/tex] ← Subtract 2 from both sides
- [tex]x=-2[/tex]
- [tex]x-3=0[/tex]
- [tex]x-3+3=0+3[/tex] ← add 3 to both sides
- [tex]x=3[/tex]
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hope it helps...
have a great day!!
