Question

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

Answer 1

Answer:

$x=\frac{3}{2}$

Step-by-step explanation:

By the quadratic formula,

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

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

Here, the given equation,

$x^2-3x+\frac{9}{4}=0$

By comparing,

a = 1, b = -3, c = $\frac{9}{4}$

Thus, solution of the given equation is,

$x=\frac{3\pm \sqrt{9-4\times 1\times \frac{9}{4}}}{2}$

$x=\frac{3\pm \sqrt{9-9}}{2}$

$\implies x=\frac{3}{2}$

Answer 2

Answer:

x=3/2

Step-by-step explanation: