Question

Ifx= 1/12−√3Prove that x²-4x+1=0

Answer 1

Answer:

Adult great Indian bustards have few natural enemies, but they display considerable agitation around certain predatory birds, such as eagles and Egyptian vultures (Neophron percnopterus). The only animals that have been observed to attack them are gray wolves (Canis lupus).

Answer 2

Answer:

 ${\huge{\boxed{\mathcal{\orange{Gd mrng}}}}}$

I know three methods...

Step-by-step explanation:

Method 1)

Checking if x=2+\sqrt{3}x=2+3 is true for x^2-4x+1=0x2−4x+1=0 .

\begin{gathered}(2+\sqrt{3} )^2-4(2+\sqrt{3} )+1\\=7+4\sqrt{3} -8-4\sqrt{3} +1\\=0\end{gathered}(2+3)2−4(2+3)+1=7+43−8−43+1=0

∴x=2+\sqrt{3}x=2+3 (True)

Method 2)

Using Quadratic Formula

\begin{gathered}x=\frac{4\frac{+}{}\sqrt{16-4} }{2} \\\end{gathered}x=24+16−4

∴x=2\frac{+}{} \sqrt{3}x=2+3 (True)

Method 3)

Making Quadratic Equation from Root

(ii ) Move xx and rationals to the left hand side.

(iiii ) Leave square roots on the right hand side.

(The root and conjugate root is its roots.)

x-2=\sqrt{3}x−2=3

x^2-4x+4=3x2−4x+4=3

∴x^2-4x+1=0x2−4x+1=0 (True)