Question

find the discriminant of quadratic equation 7y2+4y+5

Answer 1

 i not only cannot apply the Quadratic Formula at this point, I cannot factor either. Why? Because this equation is yet in the correct form.

And I certainly can not claim, with a straight face, that "x = 4, x – 2 = 4", because this is not how "solving by factoring" works.

No matter which solution method I intend to use — whether I'm factoring or using the Quadratic Formula to find my answers — I must first rearrange the equation into the form "(quadratic) = 0".

 

Answer 2

$(4) {}^{2} - 4 \times 7 \times 5 =$
$(4) { }^{2} - 4 \times 7 \times 5 \\ 16 - 140 \\ = - 134$