You just plug in the coefficients, and do the normal operations. Of course you have to know how to calculate with complex numbers. Assuming the coefficients are real, you may at some moment get the root of a negative number. Say, for instance, you have the square root of minus 2, then the solution of that part is the square root of plus 2, multiplied by i.
If the original coefficients are complex, you may have to calculate the root of a complex number. This is a little more complicated. For this, you convert the complex number to polar coordinates - that is, to a length and an angle. Then, to actually take the square root, you take half the angle, and the square root of the distance - and convert back to rectangular coordinates (separating the real and the imaginary part). (For the second solution, add 180 degrees to the angle.)
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The quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is what?
If the equation is 4x squared - 5x + 10 = 0, then you set a = 4, b = -5, c = 10. Replace these numbers in the quadratic formula.
It means you are required to "solve" a quadratic equation by factorising the quadratic equation into two binomial expressions. Solving means to find the value(s) of the variable for which the expression equals zero.
See the answer to the related question: 'How do you solve the power of an imaginary number?' (Link below)
You need to put your equation in this form... ax2 + bx + c = 0 Then identify your a,b and c