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:

Answer 2

`x=(3)/(2)`

Explanation:

By the quadratic formula,

The solutions of a quadratic equation ax² + bx + c = 0 is,

`x=(-b\pm √(b^2-4ac))/(2a)`

Here, the given equation,

`x^2-3x+(9)/(4)=0`

By comparing,

a = 1, b = -3, c =
`(9)/(4)`

Thus, solution of the given equation is,

`x=\frac{3\pm \sqrt{9-4* 1* (9)/(4)}}{2}`

`x=(3\pm √(9-9))/(2)`

`\implies x=(3)/(2)`