Find m, if one root of x^2+mx+30=0 is 1 more than other root
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Step-by-step explanation:
x^2 + mx + 30 = 0
A.T.Q let the roots of the equation be p and 1+p,
sum of roots is p+(p+1)=-m [sum of roots= -b/a]
2p+1=-m.........(1)
product of roots p(p+1)= 30
p^2 + p = 30
by factorising the above equation we get p=5 and p= -6
substituting p value in (1)
m= -11 or m= 11
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