Question

find the largest value of m if the roots of 3x^2-4x+m=0 are real

Answer 1

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Step-by-step explanation:

ANSWER

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+

2

1

)=0

⇒

m=1,

2

−1