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Solve the following quadratic equations ...

Solve the following quadratic equations by factorization.
`5m^(2)=22m+15`

Text Solution

Verified by Experts

The correct Answer is:
`5,-(3)/(5)` are the roots of the given quadratic equation.
`5m^(2)=22m+15" "5xx(-15)`
`:.5m^(2)-22m-15=0" "=-75`
`:.5m^(2)-25m+3m-15=0" "-25+3`
`:.5m(m-5)+3(m-5)=0`
`:.(m-5)(5m+3)=0`
`:.m-5=0or5m+0`
`:.m=5or5m=-3" ":.m=-(3)/(5)`
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