Question

Use the quadratic formula to find the solution to the quadratic equation given below. x^2-3x+9/4 =0​

Answer 1

`x = (3)/(2)`

Explanation:

x^2-3x+9/4 =0​

Multiply both sides by 4 to get rid of the fraction.

4x^2 - 12x + 9 = 0

`x = (-b \pm √(b^2 - 4ac))/(2a)`

`x = (-(-12) \pm √((-12)^2 - 4(4)(9)))/(2(4))`

`x = (12 \pm √(144 - 144))/(8)`

`x = (12)/(8)`

`x = (3)/(2)`