Answer:
SUM OF ROOTS OF A QUADRATIC EQUATION
Formula used in this problem:
[tex]\boxed{\sf{x_1 + x_2 = -\frac{b}{a}}}[/tex]
- Find the values of a, b, and c.
[tex]\sf{8x² + 14x + 3 = 0}[/tex]
[tex]\boxed{\sf{a = 8, b = 14, c = 3}}[/tex]
- Substitute the values into the formula.
[tex]\sf{x_1 + x_2 = -\frac{b}{a}}[/tex]
[tex]\sf{x_1 + x_2 = -\frac{14}{8}}[/tex]
- Find the lowest term of the fraction by dividing it into 2.
[tex]\sf{x_1 + x_2 = -\frac{14}{8}}[/tex]
[tex]\sf{x_1 + x_2 = -\frac{14}{8} ÷ \frac{2}{2}}[/tex]
[tex]\boxed{\sf{x_1 + x_2 = -\frac{7}{4}}}[/tex]
Answer
[tex]\purple{\boxed{\sf{D. -\frac{7}{4}}}}[/tex]
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