Quadratic Equations and Inequalities questions
963 published questions with worked solutions.
- Domain of the function f(x)= 2-2x-x^2 is
- The domain of the function f(x)= ( 5x-3-2x^2 ) is
- If b^2-4ac=0 and a>0, then the domain of the function f(x)= (ax^2+bx+c)(x+1) is
- The range of the function f(x)=x^2-6x+7 is
- The domain of the real valued function f(x)= 5-4x-x^2 +x^2 (x+4) is
- Let a and b be two integers such that 10a+b=5 and P(x)=x^2+ax+b. The integer n such that P(10) P(11)=P(n) is
- If f is a polynomial such that f(x) f ( 1x )=f(x)+f ( 1x ) and f(4)=65, then f(6) is
- If f(0)=1, f(1)=5, f(2)=11, then the equation of the polynomial of degree two is
- Let f (x+ 1x )=x^2+ 1 x^2 , x 0, then f(x) is equal to
- The values of b and c for which the identity f(x+1)-f(x)=8x+3 is satisfied, where f(x)=bx^2+cx+d, are
- The second degree polynomial f(x) satisfying f(0)=0, f(1)=1 and f'(x)>0 for all x (0,1) is
- Let a>2 be a constant. If there are just 18 positive integers satisfying the inequality (x-a)(x-2a)(x-a^2)<0, then the value of a...
- Number of integral values of x for which (2^ / ^ -1 x -4 )(x-4)(x-10) x!-(x-1)! <0 is
- Number of integral values of x for which the function x+ x + 7x-x^2-6 is defined is
- Number of integral values of x satisfying the inequality ( 34 )^ 6x+10-x^2 < 27 64 is
- Let f(x)=3x^2-7x+c, where c is a variable coefficient and x> 76. Then the value of [c] such that f(x) touches f^ -1 (x) is (where...
- The interval in which the function y= x-1 x^2-3x+3 transforms the real line is
- The equivalent definition of f(x)= x^2,(1-x)^2,2x(1-x) , where 0 x 1, is
- If b^2-4ac=0, a>0, then the domain of the function f(x)= ax^3+(a+b)x^2+(b+c)x+c is
- Let f(x)=(1+b^2)x^2+2bx+1 and let m(b) be the minimum value of f(x). As b varies, the range of m(b) is
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