Solve the following quadratic equations by factorization:
a²b²x²+b²x-a²-1=0
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Solve the following quadratic equations by factorization:
a²b²x²+b²x-a²-1=0
x = -1/a², x = -1/b² are the roots.
Given,
a²b²x²+b²x-a²-1=0
⇒ b²x[a²x + 1] - 1[a²x + 1] = 0
⇒ [a²x + 1] [b²x - 1] = 0
⇒ [a²x + 1] = 0, [b²x - 1] = 0
⇒ a²x = - 1, b²x = - 1
⇒ x = -1/a², x = -1/b²
Hence, x = -1/a², x = -1/b² are the roots of quadratic equation found by using factorization.
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