1.

Complete the following activity to determine the nature of the roots of the quadratic equation `2x^(2) - 5x + 3 = 0 `

Answer» `2x^(2) - 5 x + 3 = 0`
Here, `a=2, b = - 5 , c = 3 `
`b^(2) =4 ac = square ^(2)- 4(2)(3)`
`= square -24`
`= square `
`:. b^(2) - 4ac gt 0`
The roots are `square`
Activity `:`
`a=2,b= -5,c = 3 `
`b^(2) - 4ac = (-5)^(2)- 4(2) (3)`
`= 25 -24`
`= 1 `
` :. b^(2) - 4ac gt 0`
The roots are real and unequal.


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