Explain how to get ABC formula
a times x square plus b times x plus c equals zero
1. Eliminated coefficient
x square plus b over a in bracket times x plus c over a equals zero
2. x square plus b over a in bracket times x plus b over 2a in bracket square plus c over a equals b over 2a in bracket square
3. open bracket x plus b over 2a close bracket square equals b square over 4 a square in bracket c over a
Equals b square minus 4 ac all over 4 a square
4. x plus b over 2a = ± the root of b square minus 4ac all over 4a square
5. x equals minus b over 2a ± one two a in bracket times the root of b square minus 4ac
6. x equals minus b ± the root of b square minus 4ac all over 2a
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