Class 11Mathematics4-2.Quadratic Equations and InequationsSolution of quadratic equations and Nature of roots
MediumThe roots of the equation $|x - 2|^2 + |x - 2| - 6 = 0$ are:
- A$0, 4$
- B$-1, 3$
- C$4, 2$
- D$5, 1$
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Let $a, b, c \in \mathbb{R}$ and $\alpha, \beta$ be the real roots of the equation $ax^2 + bx + c = 0$. If $a < 0, b > 0, c > 0$ and $\alpha < \beta$,then:
If the roots of the equation $qx^2 + px + q = 0$,where $p$ and $q$ are real,are complex,then the roots of the equation $x^2 - 4qx + p^2 = 0$ are
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View SolutionWhat are the roots of the equation $x^{2/3} + x^{1/3} - 2 = 0$?
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View SolutionWhich of the following is not a root of $f(x) = x^3 - 11x^2 + 36x - 36$?
The roots of the equation $\sqrt{3x + 1} + 1 = \sqrt{x}$ are
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