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x^(2)+x-2=0

11) x2+x−2=0 x^{2}+x-2=0

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Full solution

Q. 11) x2+x−2=0 x^{2}+x-2=0
  1. Factor the quadratic equation: First, let's try to factor the quadratic equation.\newlinex2+x−2=(x+2)(x−1)x^2 + x - 2 = (x + 2)(x - 1)
  2. Set equations equal to zero: Now, set each factor equal to zero and solve for xx.x+2=0x + 2 = 0 or x−1=0x - 1 = 0
  3. Solve for x=−2x = -2: Solving the first equation, x+2=0x + 2 = 0, we get x=−2x = -2.
  4. Solve for x=1x = 1: Solving the second equation, x−1=0x - 1 = 0, we get x=1x = 1.

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