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find the roots of the quadratic equation 6x2 – 11x – 35 = 0

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6x2 – 11x – 35 = 0

⇒ 6x2 – 21x + 10x – 35 =0

⇒ 3x(2x – 7) + 5(2x – 7) = 0

⇒ (2x – 7)(3x + 5) = 0

⇒ x = 7/2 or -5/3

∴ Roots are -5/3, 7/2