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Solve by completing the square. s^(2)-16 s=37 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. s= ◻ or s= ◻ Submit

Solve by completing the square.\newlines2−16s=37 s^{2}-16 s=37 \newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlines= s= \newline□ \square or s= s= □ \square \newlineSubmit

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Solve a quadratic equation by completing the squareright chevron icon

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Q. Solve by completing the square.\newlines2−16s=37 s^{2}-16 s=37 \newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newlines= s= \newline□ \square or s= s= □ \square \newlineSubmit
  1. Rewrite Equation: Rewrite the equation by moving all terms to one side.\newlines2−16s−37=0s^2 - 16s - 37 = 0
  2. Complete the Square: Complete the square by adding and subtracting (b2)2(\frac{b}{2})^2, where b=−16b = -16.(s2−16s+64)−64=37(s^2 - 16s + 64) - 64 = 37(s−8)2−64=37(s - 8)^2 - 64 = 37
  3. Isolate Squared Term: Isolate the squared term by adding 6464 to both sides.\newline(s−8)2=101(s - 8)^2 = 101
  4. Take Square Root: Take the square root of both sides, remembering to include both the positive and negative roots.\newlines−8=±101s - 8 = \pm\sqrt{101}
  5. Solve for s: Solve for ss by adding 88 to both sides.s=8±101s = 8 \pm \sqrt{101}
  6. Approximate 101\sqrt{101}: Approximate 101\sqrt{101} to the nearest hundredth.101≈10.05\sqrt{101} \approx 10.05
  7. Calculate Final Values: Calculate the final values for ss.s≈8+10.05s \approx 8 + 10.05 or s≈8−10.05s \approx 8 - 10.05s≈18.05s \approx 18.05 or s≈−2.05s \approx -2.05

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