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2x^(2)-11 x-6=0

2x2−11x−6=0 2 x^{2}-11 x-6=0

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Full solution

Q. 2x2−11x−6=0 2 x^{2}-11 x-6=0
  1. Factor the quadratic equation: First, we need to factor the quadratic equation. 2x2−11x−6=(2x+1)(x−6)2x^2 - 11x - 6 = (2x + 1)(x - 6)
  2. Set equations equal to zero: Now, set each factor equal to zero and solve for xx. \newline2x+1=02x + 1 = 0 and x−6=0x - 6 = 0
  3. Solve for x: Solve the first equation: 2x+1=02x + 1 = 0\newline2x=−12x = -1\newlinex=−12x = -\frac{1}{2}
  4. Solve first equation: Solve the second equation: x−6=0x - 6 = 0\newlinex=6x = 6

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