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how to solve quadratic equation given the roots. C a As you can see from the work below when you are trying to solve a quadratic equations in the form of a x 2 b x c. Standard form of quadratic equation is ax 2 bx c where a b and c are coefficient and real numbers and also a 0.
Substituting in the quadratic formula. The standard form of a quadratic equation is. There are three main ways to solve quadratic equations.
The quadratic formula can also be used to solve quadratic equations whose roots are imaginary numbers that is they have no solution in the real number system.
For example to solve x 2 -x 870 the Babylonian scribe in-structed his students to take half of 1 square it and add that to 870. The quadratic formula gives that the roots of this equation are 2 and 4 and both of these are real so the equation has two real roots. The quadratic formula can also be used to solve quadratic equations whose roots are imaginary numbers that is they have no solution in the real number system. Standard form of quadratic equation is ax 2 bx c where a b and c are coefficient and real numbers and also a 0.