Solve the quratic equation 2x2 + 5x + 2 = 0 using formula method

1.	Solve the quratic equation 2x2 + 5x + 2 = 0 using formula method
Answer» ong>GIVEN EQUATION $\sf\to 2x^2+5x+2=0$ Formula $\sf\to x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$ Now Compare with $\sf\to ax^2+bx+c=0$ We GET $\sf\to a=1 , b = 5\: and\:c=2$ Put the value on formula $\sf\to x=\dfrac{-5\pm\sqrt{(5)^2-4\times2\times2} }{2\times2}$ $\sf\to x=\dfrac{-5\pm\sqrt{25-16} }{4}$ $\sf\to x=\dfrac{-5\pm\sqrt{9} }{4}$ $\sf\to x = \dfrac{-5\pm3}{4}$ $\sf\to x=\dfrac{-5+3}{4} \: and \:\dfrac{-5-3}{4}$ $\sf\to x=\dfrac{-2}{4} \: and \: \dfrac{-8}{4}$ $\sf\to x= \dfrac{-1}{2} \:and\: x= -2$ Answer $\sf\to x= \dfrac{-1}{2} \:and\: x= -2$

Answer»

$\sf\to 2x^2+5x+2=0$