With respect to the roots of x^{2}-x-2=0,we c | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The given quadratic equation is $x^{2}-x-2=0$.To find the roots,we factorize the equation:$x^{2}-2x+x-2=0$$x(x-2)+1(x-2)=0$$(x-2)(x+1)=0$Thus,the

Vedclass · Accepted Answer

both of them are integers

Vedclass · Answer

(B) The given quadratic equation is $x^{2}-x-2=0$.To find the roots,we factorize the equation:$x^{2}-2x+x-2=0$$x(x-2)+1(x-2)=0$$(x-2)(x+1)=0$Thus,the roots are $x=2$ and $x=-1$.Since both $2$ and $-1$ are integers,option $B$ is correct.Also,note that one root is positive and one is negative,so option $C$ is partially true but $B$ is a more comprehensive description of the nature of the roots.

With respect to the roots of $x^{2}-x-2=0$,we can say that

Similar Questions

The roots of $|x - 2|^2 + |x - 2| - 6 = 0$ are

The number of positive integral values of $K$ for which the equation $K = |x + |2x - 1|| - |x - |2x - 1||$ has exactly three real solutions is:

If $P(x) = ax^2 + bx + c$ and $Q(x) = -ax^2 + dx + c$ where $ac \neq 0$,then $P(x) \cdot Q(x) = 0$ has at least

Let $\alpha$ and $\beta$ be the roots of the equation $x^2 + x + 1 = 0$. The equation whose roots are $\alpha^{19}$ and $\beta^7$ is:

The length of a rectangular plot is $8 \, m$ greater than its breadth. If the area of the plot is $308 \, m^{2}$,find the length of the plot.

Vedclass Test Series

Exam Paper Generator

Online Exam Module