Exercise algebra.equations.quadratic.no-abc
Description
solve a quadratic equation without abc-formula
Firsts
Rule algebra.equations.quadratic.same-con-factor Location [] Term "Just (TCon relation1.eq [TNum 0,TCon arith1.plus [TCon arith1.times [TNum 2,TCon arith1.minus [TNum 10,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TVar \"x\",TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 10]]]])" Focus "Just (TCon relation1.eq [TNum 0,TCon arith1.plus [TCon arith1.times [TNum 2,TCon arith1.minus [TNum 10,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TVar \"x\",TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 10]]]])" Environment Rule algebra.equations.linear.distr-times Location [] Term "Just (TCon relation1.eq [TNum 0,TCon arith1.plus [TCon arith1.plus [TCon arith1.minus [TNum 40,TCon arith1.times [TNum 4,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TNum 4,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TNum 20,TVar \"x\"]]])" Focus "Just (TCon relation1.eq [TNum 0,TCon arith1.plus [TCon arith1.plus [TCon arith1.minus [TNum 40,TCon arith1.times [TNum 4,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TNum 4,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TNum 20,TVar \"x\"]]])" Environment Rule algebra.equations.linear.flip Location [] Term "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.times [TNum 4,TCon arith1.minus [TNum 10,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 10]]],TNum 0])" Focus "Just (TCon relation1.eq [TCon arith1.plus [TCon arith1.times [TNum 4,TCon arith1.minus [TNum 10,TCon arith1.power [TVar \"x\",TNum 2]]],TCon arith1.times [TCon arith1.times [TNum 2,TVar \"x\"],TCon arith1.plus [TCon arith1.times [TNum 2,TVar \"x\"],TNum 10]]],TNum 0])" Environment