Quadratic Equations and Inequalities questions
963 published questions with worked solutions.
- The number of integral solutions of x+1 x^2+2 > 14, is
- The solution set of the inequation x^2+(a+b)x+ab<0, a<b, is
- The solution set of x^2+x+|x|+1<0, is
- If , and are the roots of the equation x^4-1=0, then the value of a +b +c +d a +b +c +d + a +b +c +d a +b +c +d , is
- The number of real solutions of the equation 6-x x^2-4 =2+ x x+2 , is
- Let , be the roots of x^2+bx+1=0. Then the equation whose roots are - ( + 1 ) and - ( + 1 ), is
- The value of c' for which | ^2- ^2 |= 74, where and are the roots of 2x^2+7x+c=0, is
- The set of possible values of a for which x^2- (a^2-5a+5 )x+ (2a^2-3a-4 )=0 has roots whose sum and product are both less than 1...
- If and are the roots of ax^2+bx+c=0, then
- If the ratio of the roots of the equation x^2+px+q=0 be equal to the ratio of the roots of x^2+lx+m=0, then
- The real roots of |x|^3-3x^2+3|x|-2=0 are
- If the equations ax^2+bx+c=0 and cx^2+bx+a=0, a c have a negative common root, then a-b+c=
- The number of real roots of the equation 2x-3 x-1 +1= 6x^2-x-6 x-1 , is
- If a,b are odd integers, then the roots of the equation 2ax^2+(2a+b)x+b=0, a 0 are
- If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, then a,b,c are in
- Given that ax^2+bx+c=0 has no real roots and a+b+c<0, then
- The expression y=ax^2+bx+c has always the same sign as c if
- The values of a' for which the roots of the equation x^2+x+a=0 are real and exceed a' are
- If b>a, then the equation (x-a)(x-b)-1=0 has
- If , are the roots of ax^2+c=bx, then the equation (a+cy)^2=b^2y in y has the roots
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