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Find roots equation 2x^(2)-x-3=0....

Find roots equation `2x^(2)-x-3=0`.

Text Solution

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Comparing this equation with standard quadration `ax^(2)+bx+c=0`,
we have `a=2, b=-1, c=-3`
Now from, `x=(-b+-sqrt(b^(2)-4ac))/(2a), x=(-(-1)+-sqrt((-1)^(2)-4(2)(-3)))/(2(2))`
`x=(1+-sqrt(1+24))/(4)=(1+-5)/(4)rArr x_(1)=(+6)/(4)=3/2` and `x_(2)=-1`
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