Solution of a Quadratic Equation by Factorisation: A quadratic equation in the form of $$ax^2 + bx + c = 0$$ can be solved using factorisation. This method...
Solution of a Quadratic Equation by Factorisation:
A quadratic equation in the form of can be solved using factorisation. This method involves factoring the quadratic expression into two linear factors and then solving for the values of a, b, and c that make the equation true.
Factorisation:
To factorise a quadratic equation, we need to rewrite it in the form of
Solving the Equation:
Once the quadratic equation is factored, we can solve for the values of a, b, and c by comparing the coefficients of the linear factors to the coefficients of the original quadratic equation. These values are then used to rewrite the solution as:
Example:
Consider the quadratic equation
Factoring this equation, we get:
Therefore, the solutions are x = 2 and x = 2.
Conclusion:
By using factorisation, we can solve quadratic equations and find the solutions to the equation in terms of a, b, and c