Find the roots of the quadratic equations by using the quadratic formula in each of the following
`5x^(2)+13x+8=0`

Answer

`-1,-(8)/(5)` are the roots of the given quadratic equation.

Explanation

`5x^(2)=13x+8=0`
Comparing with `ax^(2)+bx+c=0`
`a=5,b=13,c=8`
`b^(2)-4ac=(13)^(2)-4(5)(8)=169-160=9`
`x=(-bpmsqrt(b^(2)-4ac))/(2a)=(-13pmsqrt9)/(2xx5)`
`=(-13pm3)/(10)`
`:.x=(-13pm3)/(10)orx=-(-13-3)/(10)`
`:.x=(-10)/(10)orx=-(16)/(10)`
`:.=-1orx=-(8)/(5)`