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Which of the following is a root of the equation \(2x^2-5x-3=0 \)?
Which of the following is a root of the equation \(3x^2-2x-1=0 \)?
\(x=\sqrt2 \) is a solution of the equation :
Which of the following is a root of the equation \(2x^2-x+\dfrac{1}{8} \)?
Which of the following is a quadratic equation in x?
(a)
(b)
(c)
(d)
Which of the following is not a quadratic equation?
Which of the following equations has 2 as a root ?
The roots of \(4x^2+4\sqrt3x+3=0 \) are:
Discriminant of \(x^2+px+2q=0 \) is:
If \(ax^2+bx+c=0 \) has equal roots, then \(c \) is equal to:
If the equation \(9x^2+6kx+4=0 \) has equal roots, then the roots are:
Roots
If the equation \((a^2+b^2)x^2-2(ac+bd)x+c^2+d^2=0 \) has equal roots, then:
*** QuickLaTeX cannot compile formula: (a^2+b^2)x^2-2(ac+bd)x+c^2+d^2=0\\ \\ b^2-4ac=0\\ \\ [-2(ac+bd)^2]-4(a^2+b^2)\ (c^2+d^2)=0\\ \\ \Rightarrow 4(a^2c^2+b^2d^2+2abcd-a^2c^2-a^2d^2-b^2c^2-b^2d^2)=0\\ \\ \Rightarrow (ad-bc)^2=0\Rightarrow ad=bc *** Error message: Illegal unit of measure (pt inserted). leading text: ...^2+d^2=0\\ \\ b^2-4ac=0\\ \\ [-2(ac+bd)^2] Missing $ inserted. leading text: ...^2+d^2=0\\ \\ b^2-4ac=0\\ \\ [-2(ac+bd)^2] Extra }, or forgotten $. leading text: ...^2+d^2=0\\ \\ b^2-4ac=0\\ \\ [-2(ac+bd)^2] You can't use `\end' in internal vertical mode. leading text: \end{document} Missing } inserted. leading text: \end{document} Missing $ inserted. leading text: \end{document} Extra \endgroup. leading text: \end{document} Emergency stop.
If the roots of the equation \((a^2+b^2)x^2-2b\ (a+c)x+(b^2+c^2)=0 \) are equal, then:
If \(x=1 \) is a common root of the equation \(ax^2+ax+3=0 \) and \(x^2+x+b=0 \), then \(ab \) is equal to:
…(1)
…(2)
Which constant must be added and subtracted to solve the quadratic equation \(9x^2+\dfrac{3}{4}x-\sqrt2=0 \) by the method of completing the square ?
Let
Which of the following equations has two distinct real roots ?
Which of the following equations has no real roots?
\((x^2+1)^2-x^2=0 \) has:
Let
The quadratic equation \(2(p+q)^2x^2+2(p+q)x+1=0 \) has:
If \(p^2x^2+(p^2+q^2)x+q^2=0 \) has equal roots, then \(p^2-q^2 \) is equal to:
If the price of a pen is increased by Rs 2, a person can buy 1 pen less for Rs 40, then the original price of one pen is :
The original price is ₹8 so he buys 5 pens. If price is increased to he buy 4 pens
If the sum of the square of three consecutive integers is 29, then one of the integer is :
There consecutive integers are 2, 3, 4
The roots of the quadratic equation \(\sqrt3x^2-2x-\sqrt3=0 \) are:
The roots of the quadratic equations \(x^2+7x+12=0 \) are
If the discriminant of \(3x^2+2x+a=0 \), is double the discriminant of \(x^2-4x+2=0 \), then the value of \(a \) is:
A/Q
One of the roots of the quadratic equation \(6x^2-x-2=0 \) is:
For what value of \(k \) will \(\dfrac{7}{3} \) be a root of \(3x^2-13x-k=0 \)?
The value of \( k\) for which the equation \(2x^2-(k-1)\ x+8=0 \) will have real and equal roots are :
Which of the following is a solutions of the quadratic equation \(x^2-b^2=a(2x-a) \)?
If \(\dfrac{1}{2} \) is the root of the equation \(x^2+kx-\dfrac{5}{4}=0 \), then the value of \(k \) is:
The roots of the equation \(3x^2-4x+3=0 \) are:
If the equation \(kx^2+4x+1=0 \) has real and distinct root, then :
Value of \(k \) for which quadratic equation \(2x^2-kx+k=0 \) has equal roots is :
If \(r=3 \) is a root of quadratic equation \(kr^2-kr-3=0 \), value of \(k \) is:
The value of \(k \), for which the quadratic equation \(4x^2+4\sqrt3x+k=0 \) has equal roots is :
For what value of \(k \) the equation \(kx^2-6x-2=0 \) has equal roots ?
The value of \(p \) for which the quadratic equation \(x(x – 4) + p = 0\) has real roots, is :
The value of \(k \) for which \(3x^2+2x+k=0 \) has real roots is:
For the quadratic equation \(x^2-2x+1=0 \) the value of \(x+\dfrac{1}{x} \) is: