The roots of the quadratic equation $4x^{2} + 4x - 3 = 0$ are
- Anot possible
- Breal and equal
- Cunequal and rational
- Dequal and rational
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Similar Questions
The length of a rectangle is $2\,cm$ less than $3$ times its breadth. If its area is $280\,cm^2$,then find its length.
Difficult
View SolutionFind the roots of the quadratic equation by using the quadratic formula:
$-3x^{2} + 5x + 12 = 0$
$-3x^{2} + 5x + 12 = 0$
Medium
View SolutionWhich of the following groups correctly matches the data of Part $I$ with the data of Part $II$?
Part $I$ Part $II$ $1.$ The discriminant of $x^{2}+5x+6=0$ $a. 1$ $2.$ The discriminant of $x^{2}+5x+4=0$ $b. 9$ $3.$ The discriminant of $x^{2}+4x+3=0$ $c. 4$ $4.$ The discriminant of $x^{2}+6x+5=0$ $d. 16$
| Part $I$ | Part $II$ |
| $1.$ The discriminant of $x^{2}+5x+6=0$ | $a. 1$ |
| $2.$ The discriminant of $x^{2}+5x+4=0$ | $b. 9$ |
| $3.$ The discriminant of $x^{2}+4x+3=0$ | $c. 4$ |
| $4.$ The discriminant of $x^{2}+6x+5=0$ | $d. 16$ |
Difficult
View SolutionThe standard form of a quadratic equation in one variable is $\ldots \ldots \ldots \ldots . .$
Easy
View SolutionIf the value of the discriminant of the quadratic equation $x^{2}-10x+(2k-1)=0$ is $40$,then $k = \ldots$.
Medium
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