Question

How do you write the quadratic equation which has the roots: 2+√ 3 and 2-√ 3

Answer 1

\[\Large x = 2 + \sqrt{3} \ \text{or} \ x = 2 - \sqrt{3}\]


\[\Large x = 2 \pm \sqrt{3}\]


\[\Large x - 2 = \pm \sqrt{3}\]


See where to go from here?

Answer 2

no can you show me please

Answer 3

\[\Large x = 2 + \sqrt{3} \ \text{or} \ x = 2 - \sqrt{3}\]


\[\Large x = 2 \pm \sqrt{3}\]


\[\Large x - 2 = \pm \sqrt{3}\]


\[\Large (x - 2)^2 = 3\]


\[\Large (x - 2)^2 - 3 = 0\]


From here, you expand and simplify.

Answer 4

oh okay thank you I understand now!

Answer 5

yw