Problem 95 of 7
Complete the missing algebra in deriving the quadratic formula from ax^2+bx+c=0, a!= 0 at checkpoint (x+b/2a)^2=(b^2-4ac)/(4a^2).
Hints
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divide by a, complete square, isolate x.
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Derivation must assume a is nonzero.
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Solution
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1. Normalize the quadratic by dividing by a.
2. Move the constant term and complete the square.
3. Take square roots and isolate x.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Steps that divide by b or assume b is nonzero.