Find the values of m for which equation 3x^2+mx+2=0has equal roots also, find the roots of the given equation.
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Answer:
the roots are -√2/3 and -√2/3
Step-by-step explanation:
3x²+mx+2=0
a=3,b=m,c=2
For roots to be equal
b²=4ac
m²=4*3*2=24
m=√24=2√6
The equation become:
3x²+2√6mx+2=0
(√3x)²+2√3x*√2+(√2)²=0
( √3x+√2)²=0
√3x+√2=0
x=-√2/3
so the roots are -√2/3 and -√2/3
Anonymous:
OH OK
x=-√2/√3=-√2*√3/√3*√3=-√6/3,
so roots are -√6/3 and -√6/3
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