Solve the equation for x, where x is a real number (5 points): 5x^2 + 11x - 12 = -10

Add 10 and use the quadratic formula.
  5x^2 +11x -2 = 0
  x = (-11 ±√(11^2 -4(5)(-2)))/(2(5))
  x = (-11 ±√161)/10 ≈ {-2.368858, 0.168858}

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The quadratic formula tells you that for the solutions are