Solve equation by factoring.
X3 - 49x = 0
2 answers:
Answer:
x = - 7, x = 0, x = 7
Step-by-step explanation:
Given
x³ - 49x = 0 ← factor out x from each term
x(x² - 49) = 0 ← x² - 49 is a difference of squares, thus
x(x - 7)(x + 7) = 0
Equate each factor to zero and solve for x
x = 0
x - 7 = 0 ⇒ x = 7
x + 7 = 0 ⇒ x = - 7
Answer: x=7 or x=-7
x(x+7)(x-7)=0
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