Question

3x²- 11 /x²+3x=3 solve the following equation​

Answer 1

Answer:

(x + 4) (x - 3) =0

or, x = -4 and x = 3

Step-by-step explanation:

3x² - 11/x² + 3x = 3

=) (3x⁴ - 11 + 3x³)/x² = 3

=) 3x⁴ - 11 + 3x³ = 3x²

=) 3x⁴ + 3x³ - 3x² - 11 = 0

=) 3x²(x² + x - 1) - 11 = 0

=) x² + x - 1 - 11 =0

=) x² + x - 12 = 0

=) x² + (4 - 3)x - 12 = 0

=) x² + 4x - 3x - 12 = 0

=) x(x + 4) - 3(x + 4) = 0

=) (x + 4) (x - 3) = 0

=) x = -4 and x = 3 (ans)

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