Sumali sa IDNStudy.com at makakuha ng maraming kaalaman. Magtanong at makatanggap ng eksaktong sagot mula sa aming mga bihasang miyembro ng komunidad.

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]

#CarryOnLearning