Question

Use the quadratic formula to find the solution to the quadratic equation given below.

x²-3x+9/4=0
A. x=-3-3/2/2
B. x = 3/2
C. x= -3+3/2/2
D. x = 3+/9/4/2
E. x = -3/2
F. x = 3-/9/4/2
2
F. x =
3
☐ Ex=-12/2
E.
3-
2

Answer 1

To solve the quadratic equation x²-3x+9/4=0 using the quadratic formula, the solution is x = 3/2.

Step-by-step explanation:

To solve the quadratic equation x²-3x+9/4=0 using the quadratic formula, we first need to identify the values of a, b, and c in the standard quadratic equation form: ax²+bx+c=0. In this case, a=1, b=-3, and c=9/4.

Substituting these values into the quadratic formula, we get:

x = (-b ± √(b²-4ac))/(2a)

x = (-(-3) ± √((-3)²-4(1)(9/4)))/(2(1))

x = (3 ± √(9-9))/(2)

x = (3 ± √(0))/(2)

x = (3 ± 0)/(2)

x = 3/2