If the roots of the quadratic equation x(2x -m) +18=0 are same then the value of m is
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Answered by
1
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Given quadratic equation can be written as,
x
2
−(2m)x+(8m−15)=0
Now for equal roots, Discriminant =0
⇒b
2
−4ac=0
⇒(−2m)
2
−4(8m−15)=0
⇒m
2
−8m+15=0
⇒(m−3)(m−5)=0, factor
⇒m=3,5
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