1. Tardigrade
  2. Question
  3. Mathematics
  4. Statement-1: Number of integral values of m for which exactly one root of the equation x2-2 m x+m2-1=0 lies in the interval (-2,4) equals 2 . Statement-2: Let f(x)=a x2+b x+c where a, b, c ∈ R and a ≠ 0. If f(d) f(e)<0 then the equation f(x)=0 has exactly one root in (d, e).

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Q. Statement-1: Number of integral values of $m$ for which exactly one root of the equation $x^2-2 m x+m^2-1=0$ lies in the interval $(-2,4)$ equals 2 .
Statement-2: Let $f(x)=a x^2+b x+c$ where $a, b, c \in R$ and $a \neq 0$. If $f(d) f(e)<0$ then the equation $f(x)=0$ has exactly one root in $(d, e)$.

Complex Numbers and Quadratic Equations

Solution:

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