Question

Write the quadratic equation whose coefficient with x2 equal to 1 and roots are:

1/2√3 and 2√3

Answer 1

Answer:

$x^{2}-\frac{5\sqrt{3}}{2}x+3$

Step-by-step explanation:

we know that

The quadratic equation is equal to

$(1)(x-\frac{\sqrt{3}}{2})(x-2\sqrt{3})\\ \\=x^{2} -2\sqrt{3}x-\frac{\sqrt{3}}{2}x+3\\ \\=x^{2}-\frac{5\sqrt{3}}{2}x+3$