Question

1. find the values of a, b, and c for y = x² + 5x + 7.

a =
b =
c =

1. find the real roots for y = x² + 5x + 7. use the quadratic formula

x = \frac{-b pm sqrt{b² - 4ac}}{2a}
□ (3, 0)
□ no real roots
□ (-3, 0)
□ (-5, 0)

Explanation:

Step1: Identify quadratic coefficients

For $y = ax^2 + bx + c$, compare with $y = x^2 + 5x + 7$:
$a=1$, $b=5$, $c=7$

Step2: Calculate discriminant

Discriminant: $\Delta = b^2 - 4ac$
$\Delta = 5^2 - 4(1)(7) = 25 - 28 = -3$

Step3: Analyze discriminant

Since $\Delta < 0$, no real roots exist.

Answer:

For question 10:

$a=1$, $b=5$, $c=7$

For question 11:

no real roots