Question

if x=1 and y=1 is a solution to equation m^2x -5my=6 find the value of m

Answer 1

Answer:

1.7320508076 this would be the correct answer

Answer 2

The values of m is -1 and 6

Step-by-step explanation:

• Given equation is $m^2x-5my=6$
• Also given that x=1 and y=1 is a solution to the given equation.

To find the value of m :

• First to solve the given equation $m^2x-5my=6$

• $m^2x-5my=6$
• $m^2x-5my-6=0$ which is a quadratic equation in m

• Hence it has two roots
• Since x=1 and y=1 is a solution to given equation therefore it must satisfy the given equation.
• Therefore we can substitute the values of x and y in the given equation.

Put x=1 and y=1 in the above equation we get

• $m^2x-5my-6=0$
• $m^2(1)-5m(1)-6=0$
• $m^2-5m-6=0$
• $(m+1)(m-6)=0$ ( by factorising the polynomial )
• $m+1=0$ or $m-6=0$
• m=-1 or m=6

Therefore the values of m is -1 and 6