Answered

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2. Which are the values of [tex]$a, b,$[/tex] and [tex]$c$[/tex] in the quadratic equation [tex]$8x^2 + 5x + 2 = 0$[/tex]?

A. [tex]$a = 2, b = 5, c = 8$[/tex]
B. [tex]$a = 8, b = 2, c = 5$[/tex]
C. [tex]$a = 2, b = 8, c = 5$[/tex]
D. [tex]$a = 8, b = 5, c = 2$[/tex]

Sagot :

GinnyAnswer
To determine the values of [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] in the quadratic equation [tex]\( 8x^2 + 5x + 2 = 0 \)[/tex], we must identify the coefficients of the terms in the standard form of a quadratic equation, which is given by:

[tex]\[ ax^2 + bx + c = 0 \][/tex]

Here, we need to match the given quadratic equation [tex]\( 8x^2 + 5x + 2 = 0 \)[/tex] to the standard form [tex]\( ax^2 + bx + c \)[/tex].

Observing the given quadratic equation:
1. The coefficient of [tex]\( x^2 \)[/tex] is [tex]\( 8 \)[/tex], so [tex]\( a = 8 \)[/tex].
2. The coefficient of [tex]\( x \)[/tex] is [tex]\( 5 \)[/tex], so [tex]\( b = 5 \)[/tex].
3. The constant term is [tex]\( 2 \)[/tex], so [tex]\( c = 2 \)[/tex].

Thus, the values of [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] for the quadratic equation [tex]\( 8x^2 + 5x + 2 = 0 \)[/tex] are:

[tex]\[ a = 8, \, b = 5, \, c = 2 \][/tex]

The correct option is:
[tex]\[ a = 8, \, b = 5, \, c = 2 \][/tex]
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