The incomplete quadratic equation is understood as a quadratic equation of a non-standard look in which there is no one of members - b or c. At the same time for the decision this equation needs to be given to a full look and it is correct to build. At az option² + with = 0 in the equation the second member of b=0, and in az equation² + bz = 0 third member with =0. And the first member and has to be surely other than zero. A solution of an incomplete quadratic equation is found by a classical method through a discriminant after reduction to a full look. However it is easier to find roots in each of special cases of the equation in a different way.
Instruction
1. Lead the set incomplete quadratic equation to a full look: az² + bz + c = 0. For this purpose define what of multipliers is equal to zero. Further it is possible to solve a usual quadratic equation by means of finding of a discriminant and roots.
2. If the incomplete equation of a type of az² + by bz = 0 is set, its roots can be determined by easier way. For this purpose put z outside brackets. You receive record: z (az + b) = 0. Multipliers can be painted: z=0 and az + b = 0 as both expressions can give at multiplication as a result zero. = 0 we will transfer the second multiplier to the records az + b with other sign to the right. From here we receive solutions of z1 = 0 and z2 = - b/and. It is also roots of the initial equation.
3. If there is an incomplete equation of a type of az² + with = 0, in this case the decision are simple transfer of the free member in the right member of equation. Also change at the same time its sign. The record az² = - page will turn out. Express z² = with / and. Take a root and write down two decisions - positive and negative value of a root square.