# If the root of x² + px + 12 = 0 are in the ratio 1:3 then what is the value of p ? ===================================================== Find the distance between the points ( l + m , n - p ) and ( l - m , n + p ) =================================================== If are the roots of the equation x² + x√ + = 0 , then find

2
by SweetRohan

2015-02-10T12:27:43+05:30

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+ px + 12 = 0
so let the roots be 1 d and 3 d
We know that sum of the roots = -b/a
and product of the roots = c/a
1d+3d = - p / 1

1d * 3d = 12
= 12
d = 2
So substituting, 1(2) + 3 (2) = - p
2+6 = - p
p = - 8 or +8 (since root can be both positive and negative)
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Distance between the points =

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= units
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sub alpha value,

2015-02-11T17:49:48+05:30
+ px + 12 = 0
so let the roots be 1 d and 3 d
We know that sum of the roots = -b/a
and product of the roots = c/a
1d+3d = - p / 1

1d * 3d = 12
= 12
d = 2
So substituting, 1(2) + 3 (2) = - p
2+6 = - p
p = - 8 or +8 (since root can be both positive and negative)
==================================================
Distance between the points =

=

=

=

= units
=====================================================

sub alpha value,