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Put the value of roots in place of x. then combine both equations. u will get the answers.
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mx²+7x+n=0
x=-3
m(-3)²+7(-3)+n=0
9m-21+n=0
9m+n=21 ____(1)
and
x=2/3
m(2/3)²+7(2/3)+n=0
4m/9+14/3+n=0
(4m+42+9n)=0
4m+9n=-42. _____(2)
By solving eq (1) and (2)
we get
m=3
n=-6
x=-3
m(-3)²+7(-3)+n=0
9m-21+n=0
9m+n=21 ____(1)
and
x=2/3
m(2/3)²+7(2/3)+n=0
4m/9+14/3+n=0
(4m+42+9n)=0
4m+9n=-42. _____(2)
By solving eq (1) and (2)
we get
m=3
n=-6
Answered by
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Put x = - 3
= m(-3)^2 +7(-3) + n = 0
= 9m - 21 + n = 0
= 9m + n = 21 . 1.
Put x = 2/3
= m(2/3^2) +7(2/3) +n = 0
= 4m/9 + 14/3 + n = 0
= 4m/9 + n = - 14/3 . 2.
Subtract eq 2 from eq1.
= 9m - 4m/9 + n - n = 21-(-14/3)
= 9m - 4m/9 = 21+14/3
= 77m/9 = 77/3
= m = 77/3 * 9/77
= m = 9/3=3.
Put value of m in eq. 1.
= 9*3 + n = 21
= n = 21-27
= - 6.
Hope it's helpful to u.
= m(-3)^2 +7(-3) + n = 0
= 9m - 21 + n = 0
= 9m + n = 21 . 1.
Put x = 2/3
= m(2/3^2) +7(2/3) +n = 0
= 4m/9 + 14/3 + n = 0
= 4m/9 + n = - 14/3 . 2.
Subtract eq 2 from eq1.
= 9m - 4m/9 + n - n = 21-(-14/3)
= 9m - 4m/9 = 21+14/3
= 77m/9 = 77/3
= m = 77/3 * 9/77
= m = 9/3=3.
Put value of m in eq. 1.
= 9*3 + n = 21
= n = 21-27
= - 6.
Hope it's helpful to u.
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