One root of the quadratic equation:-
q² - mq - 5 = 0 is 2.
Find the value of m.
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Step-by-step explanation:
For equal roots D=b 2 −4ac=0
⇒[2(m+1)] 2 −4m(3m+1)=0
⇒m 2 +2m+1−3m 2−m=0
⇒−2m 2+m+1=0
⇒2m 2 −m−1=0⇒(m−1)(m+ 21 )=0
⇒m=1, 2−1
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