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Determine the discriminant for 4x-x^(2)-2=0 __________help (numbers)

Determine the discriminant for 4x−x2−2=0 4 x-x^{2}-2=0 __________help (numbers)

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Find properties of circles from equations in general formright chevron icon

Full solution

Q. Determine the discriminant for 4x−x2−2=0 4 x-x^{2}-2=0 __________help (numbers)
  1. Rewrite Quadratic Equation: Rewrite the quadratic equation in standard form ax2+bx+c=0ax^2 + bx + c = 0.\newlineCalculation: Rearrange terms to get −x2+4x−2=0-x^2 + 4x - 2 = 0.
  2. Identify Coefficients: Identify coefficients aa, bb, and cc from the equation.\newlineCalculation: a=−1a = -1, b=4b = 4, c=−2c = -2.
  3. Calculate Discriminant Formula: Use the discriminant formula Δ=b2−4ac\Delta = b^2 - 4ac.\newlineCalculation: Δ=(4)2−4⋅(−1)⋅(−2)\Delta = (4)^2 - 4\cdot(-1)\cdot(-2).

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