Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Given the quadratic below, determine the value of the discriminant.

[tex]\[ 2x^2 + 11x + 5 = 0 \][/tex]

A. -59
B. 70
C. 0
D. 81

Sagot :

GinnyAnswer
To determine the value of the discriminant for the quadratic equation [tex]\( 2x^2 + 11x + 5 = 0 \)[/tex], we'll use the discriminant formula:

[tex]\[ \Delta = b^2 - 4ac \][/tex]

where [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] are the coefficients of the quadratic equation [tex]\( ax^2 + bx + c = 0 \)[/tex].

For this quadratic equation:

- [tex]\( a = 2 \)[/tex]
- [tex]\( b = 11 \)[/tex]
- [tex]\( c = 5 \)[/tex]

Now, substituting these values into the discriminant formula:

[tex]\[ \Delta = 11^2 - 4 \cdot 2 \cdot 5 \][/tex]

First, calculate [tex]\( 11^2 \)[/tex]:

[tex]\[ 11^2 = 121 \][/tex]

Next, calculate [tex]\( 4 \cdot 2 \cdot 5 \)[/tex]:

[tex]\[ 4 \cdot 2 \cdot 5 = 40 \][/tex]

Now, subtract the second result from the first:

[tex]\[ \Delta = 121 - 40 \][/tex]

[tex]\[ \Delta = 81 \][/tex]

Therefore, the value of the discriminant for the given quadratic equation is [tex]\( \Delta = 81 \)[/tex]. The correct answer is:

81
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.