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3 years ago

What term should be added to t^2+11t, to make it a perfect square trinomial?

Mathematics

1 answer:

Sholpan [36]3 years ago

6 0

Term to be added is: + 121/4

t^2 + 11t + 121/4

(t + 11/2) (t + 11/2)

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======================================================

Explanation:

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£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

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Mark received £ 132

Solution:

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

David gets twice as much as Mark

d = 2m ----- eqn 2

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m = 3h

$h = \frac{m}{3}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

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