If m and n are roots of x2 + bx + c = 0 , where c

Question

If m and n are roots of x2 + bx + c = 0 , where c<0<b, then 1) 0<m<n 2) m<0<n<|m| 3) m<n<0 4) m<0|m|<n Please provide the solution.

Jitender Singh · Answer

Ans:
Hello Student,
Please find answer to your question below,

$x^2 + bx + c = 0$
c < 0 < b
m, n are roots of the equation. So,
$m + n = -b$
$mn = c$

Since c is -ve, so one of the root must be -ve and other must be +ve.
And the sum of the two roots is also -ve.
So the root which is -ve should have higher modulus.
So according to the options, the correct one is:
m < 0 < n < |m|

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If m and n are roots of x2 + bx + c = 0 , where c 1) 0 3) m Please provide the solution.

If m and n are roots of x2 + bx + c = 0 , where c<0
1) 0
3) m
Please provide the solution.

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