Quadratic Equations and Inequalities questions
963 published questions with worked solutions.
- The value of a for which one root of the quadratic equation (a^2-5a+3 )x^2+(3a-1)x+2=0 is twice as large as the other, is
- If a,b and c are in geometric progression and the roots of the equation ax^2+2bx+c=0 are and and those of cx^2+2bx+a=0 are and ,...
- If 3p^2=5p+2 and 3q^2=5q+2 where p q, then the equation whose roots are 3p-2q and 3q-2p is
- Let , be the roots of equation 2x^2-(p+1)x+(p-1)=0. If - = , then what is the value of p?
- Suppose that two persons A and B solve the equation x^2+ax+b=0. While solving A commits a mistake in the coefficient of x was...
- If and are the roots of x^2-2x+4=0, then the value of ^6+ ^6 is
- If , are the roots of the equation ax^2+bx+c=0, then the equation whose roots are 2 +3 and 3 +2 , is
- If , , are the roots of x^3+2x^2-3x-1=0, then ^ -2 + ^ -2 + ^ -2 is equal to
- Let f(x)=ax^2+bx+c, a 0 and =b^2-4ac. If + , ^2+ ^2 and ^3+ ^3 are in GP, then
- If and cosec are the roots of the equation x^2-px+q=0, then
- If + =4 and ^3+ ^3=44, then , are the roots of the equation
- If and are the solutions of the quadratic equation ax^2+bx+c=0 such that = ^ 1/3 , then
- In a triangle PQR, R= 2. If ( P2 ) and ( Q2 ) are the roots of ax^2+bx+c=0, a 0, then
- If a,c 0 and , are the roots of the equation ax^2+bx+c=0, then the quadratic equation with 1/ and 1/ as its roots is
- If the roots of the equation x^2-bx+c=0 are two consecutive integers, then b^2-4c is
- If and are the roots of the equation ax^2+bx+c=0 and, if px^2+qx+r=0 has roots 1- and 1- , then r is equal to
- If and are the roots of the equation ax^2+bx+c=0, =3 and a,b,c are in AP, then + is equal to
- If , , are the roots of the equation x^3-6x^2+11x-6=0, then ^2 + is equal to
- If , and are the roots of equation x^3-3x^2+x+5=0, then y= ^2+ satisfies the equation
- Let p and q be real numbers such that p 0, p^3 q and p^3 -q. If and are non-zero complex numbers satisfying + =-p and ^3+ ^3=q,...
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