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3x^(2)-20=172

33. 3x2−20=172 3 x^{2}-20=172

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Full solution

Q. 33. 3x2−20=172 3 x^{2}-20=172
  1. Move to one side: First, let's move everything to one side of the equation to set it equal to zero: 3x2−20−172=03x^2 - 20 - 172 = 0.
  2. Combine like terms: Now, combine like terms: 3x2−192=03x^2 - 192 = 0.
  3. Divide by 33: Next, we need to solve for x2x^2, so let's divide everything by 33: x2=1923x^2 = \frac{192}{3}.
  4. Solve for x2x^2: After dividing, we get x2=64x^2 = 64.
  5. Take square root: Now, take the square root of both sides to solve for xx: x=±64x = \pm\sqrt{64}.
  6. Final solution: Finally, we find that x=±8x = \pm 8.

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