Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
First, let's recall the general form of a quadratic equation:
[tex]\[ ax^2 + bx + c = 0 \][/tex]
In this equation:
- [tex]\( a \)[/tex] is the coefficient of [tex]\( x^2 \)[/tex],
- [tex]\( b \)[/tex] is the coefficient of [tex]\( x \)[/tex], and
- [tex]\( c \)[/tex] is the constant term.
Now let's compare this with the given quadratic equation:
[tex]\[ -5x^2 - 9x + 12 = 0 \][/tex]
By directly comparing terms in the equation, we can identify the values of [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex]:
- The coefficient of [tex]\( x^2 \)[/tex] (which is [tex]\( a \)[/tex]) is [tex]\(-5\)[/tex],
- The coefficient of [tex]\( x \)[/tex] (which is [tex]\( b \)[/tex]) is [tex]\(-9\)[/tex],
- The constant term (which is [tex]\( c \)[/tex]) is [tex]\( 12 \)[/tex].
Therefore, the correct values are:
- [tex]\( a = -5 \)[/tex],
- [tex]\( b = -9 \)[/tex],
- [tex]\( c = 12 \)[/tex].
This corresponds to the option:
[tex]\[ a = -5,\ b = -9,\ c = 12 \][/tex]
So the correct answer is:
[tex]\[ a = -5, \ b = -9, \ c = 12 \][/tex]
[tex]\[ ax^2 + bx + c = 0 \][/tex]
In this equation:
- [tex]\( a \)[/tex] is the coefficient of [tex]\( x^2 \)[/tex],
- [tex]\( b \)[/tex] is the coefficient of [tex]\( x \)[/tex], and
- [tex]\( c \)[/tex] is the constant term.
Now let's compare this with the given quadratic equation:
[tex]\[ -5x^2 - 9x + 12 = 0 \][/tex]
By directly comparing terms in the equation, we can identify the values of [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex]:
- The coefficient of [tex]\( x^2 \)[/tex] (which is [tex]\( a \)[/tex]) is [tex]\(-5\)[/tex],
- The coefficient of [tex]\( x \)[/tex] (which is [tex]\( b \)[/tex]) is [tex]\(-9\)[/tex],
- The constant term (which is [tex]\( c \)[/tex]) is [tex]\( 12 \)[/tex].
Therefore, the correct values are:
- [tex]\( a = -5 \)[/tex],
- [tex]\( b = -9 \)[/tex],
- [tex]\( c = 12 \)[/tex].
This corresponds to the option:
[tex]\[ a = -5,\ b = -9,\ c = 12 \][/tex]
So the correct answer is:
[tex]\[ a = -5, \ b = -9, \ c = 12 \][/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.