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If \(x=k\) be a solution of the quadratic equation \(x^2+4x+3=0\) then \(k=1\) or
The positive real root of the equation \(64x^21=0\) is
One of the real root of the quadratic equation \(3x^25x2=0\) is
The discriminant of the quadratic equation \(3x^24x2=0\) is
The quadratic equation \(ax^24ax+2a+1=0\) has repeated root if \(a\) is equal to :
If \(\alpha\text{ and } \beta\) are the roots of \(x^2+bx+c=0\), then the roots of the equation \(cx^2+(b^22c)x+c=0\) are
The roots of the equation \(x^22\sqrt{2}x+1=0\) are
If the equation \(x^2+4xk=0\) has real and distinct roots, then
If \(ax^2+bx+c=0\) has equal roots, then \(c=\)
If the equation \(ax^2+2x+a=0\) has two equal roots, then \(a\) is equal to :
The value of \(\sqrt{6+\sqrt{6+\sqrt{6\cdots}}}\) is
If the equation \(x^2bx+1=0\) does not possess real roots, then
If \(x=1\) is a common root of the equations \(ax^2+ax+3=0\) and \(x^2+x+b=0\), then \(ab=\)
The roots of the equation \(2x\dfrac{3}{x}=1\) are
For what value of \(k\), the equation \(2x^2+kx+8=0\) has real and equal roots ?
The equation \(k^{2}x^2+kx+1=0\) has
If \(\alpha \text{ and } \beta \) are the roots of the equation \(x^25x+4=0\), find the value of \(\dfrac{1}{\alpha}+\dfrac{1}{\beta}2\alpha\beta\)
For what value of \(k\), the equation \(x^2+4kx+4=0\) has equal roots ?
If \(\alpha\text{ and }\beta\) are roots of the equation \(x^25x+6=0\), find the value of \(\alpha^2\beta^2\)
An integer when added to its square equal \(182\). The negative integer is
Two numbers differ by \(3\) and their product is \(504\). The numbers are
If \(\alpha \text{ and }\beta\) are the roots of the equation \(ax^2+bx+c=0\), then \(\dfrac{\alpha}{a\beta+b}+\dfrac{\beta}{a\alpha+b}=\)
The product of the roots of the equation \(x^28x+k=0 \text{ is } 12\). Find the value of \(k\)
The roots of \(\sqrt{2}x^23x+\sqrt{2}=0\) are
If the roots of the equation \((c^2ab)x^22(a^2bc)x+b^2ac=0\) are equal, then