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▹ Answer
x₁ = -5
x₂ = 7
▹ Step-by-Step Explanation
x² - 2x - 35 = 0
x² + 5x - 7x - 35 = 0
x(x + 5) - 7x - 35 = 0
x(x + 5) - 7(x + 5) = 0
(x + 5)(x - 7) = 0
x + 5 = 0 → 0 - 5 = -5
x - 7 = 0 → 0 + 7 = 7
x₁ = -5
x₂ = 7
Hope this helps!
CloutAnswers ❁
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Answer:
Step-by-step explanation:
[tex] {x}^{2} - 2x - 35 = 0[/tex]
Write -2x as a difference
[tex] {x}^{2} + 5x - 7x - 35 = 0[/tex]
Factor out X from the expression
[tex]x(x + 5) - 7x - 35 = 0[/tex]
Factor out -7 from the expression
[tex]x(x + 5) - 7(x + 5) = 0[/tex]
Factor out x+5 from the expression
[tex](x + 5)(x - 7) = 0[/tex]
When the product of factors equals to 0, at least one factor is 0
[tex]x + 5 = 0[/tex]
[tex]x - 7 = 0[/tex]
Either,
[tex]x + 5 = 0[/tex]
[tex]x = 0 - 5[/tex]
[tex]x = - 5[/tex]
Or,
[tex]x - 7 = 0[/tex]
[tex]x = 0 + 7[/tex]
[tex]x = 7[/tex]
Hope this helps...
Best regards!!
