Quadratic equation
A expression in the form of ax2 + bx +c where a , b , c are real numbers and a\[\neq \]0 is called Quadratic equation.
For ex- 2x2 +5x+8
x2-8x+3
\[\sqrt{2}x^{2} -8x+9 \]
x2-9
7 x2 - 5x and so on
but \[x^{2}-\frac{1}{x}+9 \] is not a quadratic equation.
Solving Quadratic equation using 1. Quadratic formula
2. Midddle term splitting
Method 1 is cumbersome but sometimes very useful when middle term spitting is pretty tough to do
Method 2 is quick and time saving technique.
\[x^{2} -3 \sqrt{3} x -30 \] can be written as
\[ x^2 - 5 \sqrt[]{3} x + 2\sqrt[]{3} x -30 \]
\[ x(x-5\sqrt[]{3})+2\sqrt[]{3}(x-5\sqrt[]{3}) \]
\[(x-5\sqrt[]{3})(x+2\sqrt[]{3}) =0 \]
\[ x=5\sqrt[]{3} ,x= -2\sqrt[]{3} \]
