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139.254x230000x214642.1312139.254x^2-30000x-214642.1312

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Q. 139.254x230000x214642.1312139.254x^2-30000x-214642.1312
  1. Identify coefficients: Identify the coefficients aa, bb, and cc in the quadratic expression ax2+bx+cax^2 + bx + c.a=139.254a = 139.254, b=30000b = -30000, c=214642.1312c = -214642.1312.
  2. Find two numbers: Look for two numbers that multiply to aca \cdot c (139.254214642.1312139.254 \cdot -214642.1312) and add up to bb (30000-30000).\newlineThis step involves trial and error or the use of a calculator.
  3. Consider quadratic formula: After trying different combinations, realize that factoring this quadratic by finding two numbers that multiply to aca\cdot c and add to bb is not straightforward.\newlineConsider using the quadratic formula instead.
  4. Calculate discriminant: The quadratic formula is x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}. Calculate the discriminant b24acb^2 - 4ac. Discriminant = (30000)24×139.254×(214642.1312)(-30000)^2 - 4 \times 139.254 \times (-214642.1312).
  5. Perform correct calculation: Perform the calculation for the discriminant.\newlineDiscriminant = 9000000004×139.254×(214642.1312)900000000 - 4 \times 139.254 \times (-214642.1312).
  6. Perform correct calculation: Perform the calculation for the discriminant. Discriminant = 9000000004×139.254×(214642.1312)900000000 - 4 \times 139.254 \times (-214642.1312).Realize there's a mistake in the previous step, the calculation of the discriminant was not completed.