The discriminate of any equation in any degree plays an important role in determining the roots of that equation. In case of a quadratic equation with a positive discriminate, the roots are real while a 0 discriminate indicates a single real root. A negative discriminant indicates imaginary (complex number format) roots. Conjugate gradient method used for solving linear equation systems: As discussed before, if is the solution that minimizes the quadratic function , with being symmetric and positive definite, it also satisfies .

ax2 + bx + c = 0. we get. a = 1, b = -5 and c = -24. Substitute the above values of a, b and c into the quadratic formula. Therefore, the solution is. {-3, 8} Example 4 : Solve the following quadratic equation by completing the square method. 9x2 - 12x + 4 = 0.

## Reset boiler after power cut

Georgia standards of excellence science kindergarten

Webbsleuths