Question

If x=-7 & x=-5 are roots of x^2+mx+n=0,then the value of M and n are

Answer 1

EXPLANATION

• GIVEN

x = -7 and x = -5 are roots of equation

x^2 + mx + n = 0

TO FIND VALUE OF M AND N

Put x = - 7 in above equation

we get,

(-7) ^2 -7m + n = 0

49 - 7m + n = 0

n = 7m - 49 .... (1)

put x = -5 in above equation

we get,

(-5) ^2 -5m + n = 0

25 - 5m + n = 0 ..... (2)

put the value of n in equation (2)

25 - 5m + (7m - 49 ) = 0

25 - 5m + 7m - 49 = 0

2m - 24 = 0

m = 12

put m = 12 in equation (1)

n = 7m - 49

n = 7(12) - 49

n = 84 - 49

n = 35

therefore,

value of m = 12 and n = 35