an equation has solutions of m=-5 and m=9. what could be the equation?
An Equation with solution m= -5 and m=9 is equals to \(m^{2} -4m-45 =0\).
"Equation is defined as the algebraic expression which represents the relation between variables using sign of equality."
According to the question,
Given,
Solution of the equation
m = -5
m= 9
Equation is given by ,
\(( m + 5) ( m- 9) = 0\)
⇒ \(m^{2} +5m -9m -45=0\)
⇒ \(m^{2} -4m-45 =0\)
Hence, an Equation with solution m= -5 and m=9 is equals to \(m^{2} -4m-45 =0\).
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