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Find the roots of the quadratic equation...

Find the roots of the quadratic equations by using the quadratic formula
`2x^(2)-3x-5=0`

Text Solution

Verified by Experts

Given equation is `2x^(2)-3x-5=0`
On comparing with `ax^(2)+bx+c=0` we get
`a=2,b=-3` and `c=-5`
By quadratic formula `x=(-b+1sqrt(b^(2)-4ac))/(2a)`
`=(-(-3)+-sqrt((-3)^(2)-4(2)(-5)))/(2(2))=(3+-sqrt(9+40))/4`
`=(3+-sqrt(49))/4=(3+-7)/4=10/4 . (-4)/4=5/2 . -1`
So `5/2` and `-1` are the roots of the given equation.
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