Question

Select the correct answer.
Which statement is true about this quadratic equation?

y = x^2 - 11x + 7

A. There is one complex solution.
B. There are two real solutions.
C. There are two complex solutions.
D. There is one real solution.

Answer 1

c. hope it's help you

Answer 2

The quadratic equation has two real solutions because the value of D is positive and greater than zero or D > 0 option (B) is correct.

What is a quadratic equation?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have a quadratic equation:

y = x² - 11x + 7

As we know, the discriminant formula is used to find the nature of the roots.

The  discriminant formula is:

D = b² - 4ac

The standard quadratic equation is:

y = ax² + bx + c

a = 1, b = -11, and c = 7

Plug the values in the formula:

D = (-11)² - 4(1)(7)

D = 121 - 28

D = 93

As the D is positive and greater than zero or D > 0

Thus, the quadratic equation has two real solutions because the value of D is positive and greater than zero or D > 0 option (B) is correct.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ5