Question

Find the value of M if one of the zero of polynomial (m^2+4)x^2+63x+4M is reciprocal of other

Answer 1

Answer:

(m²+4)x2+63x+4m a=(m²+4)

αβ=c/a b=63

1/β×β=4m/(m²+4) c=4m

1=4m/(m²+4) α=1/β

m²+4=4m

m²+4-4m=0

m1-4m+4=0 (standard form)

m²-2m-2m+4 (-2-2=-4 using spliting middle term)

m(m-2)-2(m+2)

(m-2)(m+2) [a²-b²=(a+b)(a-b)

m²-2²

m²-4

m²=4

m=2