Quadratic Equation Level - 1

Find the maximum value of the expression  1 / (x² + 5x + 10)

Find the maximum value of the expression (x² + 8x + 20)

Find the minimum value of the expression (p + 1/p); p > 0

If the product of roots of the equation x² – 3(2a + 4)x + a² + 18a + 81 = 0 is unity, then a can take the values as

For the equation 2^(a+3) = 4^(a+2) – 48, the value of a will be

The expression a² + ab + b² is ______ for a < 0, b < 0

If the roots of equation x² + bx + c = 0 differ by 2, then which of the following is true?

If f(x) = (x + 2) and g(x) = (4x + 5), and h(x) is defined as h(x) = f(x) g(x), then sum of roots of h(x) will be

If equation x² + bx + 12 = 0 gives 2 as its one of the roots and x² + bx + q = 0 gives equal roots then the value of b is

If the roots of the equation (a² + b²)x² – 2(ac + bd)x + (c² + d²) = 0 are equal then which of the following is true?