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The equation 2x^(2)+13x+15=0 by uisng...

The equation `2x^(2)+13x+15=0` by
uisng formula.
Verify that you will get the same roots every time.

Text Solution

Verified by Experts

Using formula :
`2x^(2)+13x+15=0`
Comparing with `ax^(2)+bx+c=0`
`a=2,b=13,c=15`
`b^(2)=4ac=(13)^(2)-4(2)(15)`
`=169-120`
=49
`x=(-bpmsqrt(b^(2)-4ac))/(2a)`
`=(-13pmsqrt(49))/(2xx2)`
`=(-13pm7)/(4)`
`:.x=(-13-7)/(4)orx=(-13+7)/(4)`
`:.x=(-20)/(4)orx=(-6)/(4)`
`:.x=-5orx=-(3)/(2)`
`(-5,-(3)/(2))` are the roots of the given quadratic equation.
We get the same roots by all the three methods.
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