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Solve the quadratic equation 2x^(2) + 5...

Solve the quadratic equation `2x^(2) + 5x + 2 = 0` using formula method.

Text Solution

Verified by Experts

The correct Answer is:
`- (1)/(2) , - 2 ` are the root of the given quadratic equation.
Comparing `2x^92) + 5x+2 = 0 ` with `ax^(2) + bx + c = 0 `.
`a =2 , b = 5 , c = 2 `
`b^(2) - 4ac = ( 5)^(2) - 4(2) ( 2) `
`= 25- 16 `
`= 9 `
`x= ( - b+- sqrt( b^(2) - 4ac))/(2a)`
`= ( - 5 + - sqrt( 9))/( 2 xx 2 ) `
`= ( - 5 +-3)/( 4)`
` :. x = ( -5+3 )/( 4)` or ` x = ( - 5-3)/( 4)`
`:. x = ( - 2)/ (4) ` or `x = ( - 8)/( 4)`
`:. x = - (1)/(2)` or `x = - 2 `
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