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The equation x^2 - 3x - 10 = 0 has two solutions. The smaller is [ ] and the larger [ ].

The equation x^2 - 3x - 10 = 0 has two solutions. The smaller is [ ] and the larger [ ].

Answer

To solve the quadratic equation x^2 - 3x - 10 = 0, we can factor it:

  1. Find two numbers that multiply to -10 and add to -3. These numbers are -5 and 2.
  2. Factor the equation: (x - 5)(x + 2) = 0.
  3. Set each factor equal to zero: x - 5 = 0 or x + 2 = 0.
  4. Solve for x: x = 5 or x = -2.

The smaller solution is -2 and the larger solution is 5.

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