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What is the value of (s+t) if the equation

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Manager
Manager
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G
Joined: 13 May 2017
Posts: 101
Location: Finland
Concentration: Accounting, Entrepreneurship
GPA: 3.14
WE: Account Management (Entertainment and Sports)
CAT Tests
What is the value of (s+t) if the equation  [#permalink]

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New post 23 Nov 2018, 03:14
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

79% (01:25) correct 21% (01:51) wrong based on 29 sessions

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What is the value of (s+t) if the equation (3\(x^2\) + tx + s) has 2 and 3 as its roots?

A. 2
B. 3
C. 7
D. 18
E. 33
Senior Manager
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P
Joined: 18 Jun 2018
Posts: 254
Premium Member CAT Tests
Re: What is the value of (s+t) if the equation  [#permalink]

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New post 23 Nov 2018, 05:04
2
OA:B

For the Quadratic equation of form \(ax^2+bx+c=0\)

Sum of roots \(= -\frac{b}{a}\)

Product of roots \(= \frac{c}{a}\)

\(-\frac{t}{3}=2+3=5\)

\(t=-15\)

\(\frac{s}{3}=2*3\)

\(s=18\)

\(s+t = 18+(-15) =3\)
Manager
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B
Joined: 26 Feb 2017
Posts: 89
Location: India
GPA: 3.99
Re: What is the value of (s+t) if the equation  [#permalink]

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New post 23 Nov 2018, 06:02
2
Putting x=2 in the equation 3x^2+tx+s= 0
3(2)^2 + t(2) + s = 0
12 +2t+s = 0
2t + s = -12........eqn 1

Now putting x = 3 in the equation, we get:
27 + 3t + s = 0
3t + s = -27...... eqn 2

Solving eqn 1 & 2, we get:
t = -15
s = 18

Therefore, t + s = -15 + 18 = 3

B is the correct answer

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GMAT Club Bot
Re: What is the value of (s+t) if the equation &nbs [#permalink] 23 Nov 2018, 06:02
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