Find the sum of all the roots of the following equation:

$\LARGE { 4x }^{ 2} + { x } - 3 = 2$

Write the sum in the form of a simplified fraction $\frac { a }{ b }$

[If the sum is 2, write it as $\frac { 2 }{ 1 }$ ]

[If the sum is $\frac { 4 }{ 2 }$ , write it as $\frac { 2 }{ 1 }$

Write your answer as |a+b|.

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Check out the set:
2016 Problems
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The answer is 3.

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Use the Vieta's Formula, where $r_1 + r_2 = -\frac {b}{a}$ . So we get $r_1 + r_2 = -\frac {1}{4}$ . That means that $-\frac {1}{4}$ is the sum of the two roots of this equation. The question stated to write the answer as $b + a$ , so the answer is $3$ as $-1 + 4 = 3$ .