discriminant real roots

Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The root..

Without solving the quadratic equation, the nature of the roots can be determined using the discriminant. i) D >0 i.e., positive and not a perfect square. The roots are real and distinct (irrational). ii) D >0 i.e., perfect square. The roots a..

Formation of quadratic equations from given roots and conditions - Formation of quadratic equations from given roots and conditions. i) The quadratic equations whose roots are a and b is where S = sum of roots and P = product of roots ii) Quadratic ..

Functions: f is a function from set A to a set B if each element x in A can be associated with a unique element in B. Domain: In the above definition of the function, set A is called domain. Co-Domain: In the above definition of the function, set B is called co-domain. ..

All the q-th roots of z lie on a circle centred at the origin O and having radius equal to the real, positive q t h root of r. One of them has amplitude q /q and others are uniformly spaced around the circle separated from others by an angle 2p ..

i) The quadratic equations whose roots are a and b is where S = sum of roots and P = product of roots ii) Quadratic equations with real coefficients, the complex roots always occur in conjugate pairs. i.e., a + i b and a - i b ..

Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary. 5 x 2 - 5 x + 4 = 0 => 2 real solutions or 1 real and 1 imaginary solution or 2 imaginary solutions or none of the above..

Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary. 49 x 2 + 182 x + 169 = 0 => 1 real and 1 imaginary solution or 2 real solutions or 2 imaginary solutions or None of the above o..

Use the discriminant of the given function to predict how many solutions it has. Also check if the solutions are real or imaginary. 9 x 2 + 17 x - 9 = 0 => 2 imaginary solutions or 2 real solutions or 1 real and 1 imaginary solution or None of the above..

Use the discriminant to find the nature of the solutions of the given quadratic equation. 10 x 2 + 8 x + 9 = 0 => two real, irrational, unequal numbers or two complex conjugate numbers or two real, rational, unequal numbers or one real, rational number (doubl..