Class 11Mathematics4-2.Quadratic Equations and InequationsSolution of quadratic equations and Nature of roots
EasyThe number of roots of the equation $|x|^2 - 7|x| + 12 = 0$ is
- A$1$
- B$2$
- C$3$
- D$4$
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Similar Questions
If $a, b$ are real numbers and $\alpha$ is a real root of $x^2 + 6x + 12 + 3 \sin(a + b\alpha) = 0$,then the value of $\cos(a + b\alpha)$ for the least positive value of $a + b\alpha$ is
DifficultTS EAMCET 2025
View SolutionHow many roots does the equation $x - \frac{2}{x - 1} = 1 - \frac{2}{x - 1}$ have?
Medium
View SolutionThe minimum value of $f(x) = x^2 + 4x + 5$ is . . . . . . ,where $x \in R$.
If $x = \sqrt{7} + \sqrt{3}$ and $xy = 4$,then find the value of $x^4 + y^4$.
Difficult
View SolutionLet $f(x) = x^3 + a x^2 + b x + c$ be a polynomial with integer coefficients. If the roots of $f(x)$ are integers and are in Arithmetic Progression,then '$a$' cannot take the value:
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