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Solve the following quadratic equations ...

Solve the following quadratic equations by using formula method :
`x^(2)-3x-2=0`

Text Solution

Verified by Experts

The correct Answer is:
`:.x=(3+sqrt17)/(2),(3-sqrt17)/(2)` are the roots of the given quadratic equation.
`x^(2)-3x-2=0`
Comparing with `ax^(2)+bx+c=0,a=1,b=-3,c=-2`
`b^(2)-4ac=(-3)^(2)-4(1)(-2)=9+8=17`
`x=(-bpmsqrt(b^(2)-4ac))/(2a)=(-(-3)pmsqrt17)/(2xx1)`
`=(3pmsqrt17)/(2)`
`:.x=(3+sqrt17)/(2)orx=(3-sqrt17)/(2)`
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