a-b-c-R-a-0-and-the-quadratic-equation-ax-2-bx-c-0-has-no-real-roots-then-

Question Number 34425 by Vijay kumar prasad last updated on 06/May/18

a, b, c \in R, a \neq 0 and the quadratic

equation {a x}^{2} + b x + c = 0 has no real

roots, then

Answered by MJS last updated on 06/May/18

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

b^{2} - 4 a c < 0 \Rightarrow no real roots

b^{2} - 4 a c = 0 \Rightarrow exactly one real root

b^{2} - 4 a c > 0 \Rightarrow two real roots

Answered by Rio Mike last updated on 06/May/18

b^{2} - 4 a c = 0

Commented by MJS last updated on 06/May/18

in this case you have 1 real root

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