Question

solve the quadratic equation by completing the square method : 5m²+2m+1=0​

Answer 1

Step-by-step explanation:

5m²+2m+1=0

divide by 5 on both side

m²/5+2m/5+1/5=0

m²/5+2m/5+4/25- 4/25+1/5=0

(m+(2/5))^2 + 1/25 = 0

(m+(2/5))^2 = - 1/25

take roots on both side

____

m+(2/5)=+or- √ -1/25

m+(2/5)=+or- √-1/ 5

m=-2/5 +/- √-1 /5

m=(-2+or-√-1 )/5

m=(-2+√-1)/5. or m=(-2-√-1)/5.