Question

The quadratic equation y = x² - 11x 7 has two real solutions. therefore, the correct answer is:

a. There are no real solutions.
b. There is one real solution.
c. There are three real solutions.
d. There are two real solutions.

Answer 1

The quadratic equation y = x² - 11x + 7 has two real solutions.

Step-by-step explanation:

The quadratic equation y = x² - 11x + 7 can be solved to find its roots. The equation is of the form ax² + bx + c = 0, where a = 1, b = -11, and c = 7. The quadratic formula can be used to find the roots of the equation:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values for a, b, and c, we get:

x = (-(-11) ± √((-11)² - 4(1)(7))) / (2(1))

Simplifying further, we have:

x = (11 ± √(121 - 28)) / 2

x = (11 ± √93) / 2

Therefore, the quadratic equation has two real solutions.