Solve abx2+(b2−ac)x−bc=0 for x using the quadratic formula
(a, b,c are constants, ab != 0). The two roots are:
Class 10The Quadratic FormulaAlgebra — Quadratics
- Abc and −ab
- Bab and −bc
- Cba and −cb
- Dac and −bb
Step-by-Step Solution
D=(b2−ac)2+4ab⋅bc=(b2−ac)2+4ab2c=(b2+ac)2.D=b2+ac.x=2ab−(b2−ac)±(b2+ac)=2ab2ac=bcor2ab−2b2=−ab.
Answer: A) bc and −ab
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