Foxsteve260idn
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which of the following choices is the sum of the roots in the equation 8x² + 14x +3 = 0?

a. 7/4
b. -3/8
c. 3/8
d. -7/4​

Sagot :

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]

  • Simplify.

[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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