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# Solve the equation with radicals $\sqrt{3}+x^2-\sqrt{6}x+3=0$

## Step-by-step Solution

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###  Videos

$x=\frac{\sqrt{6}+3.595581i}{2},\:x=\frac{\sqrt{6}-3.595581i}{2}$
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##  Step-by-step Solution 

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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-\sqrt{6}x+\sqrt{3}+3$ from both sides of the equation

$x^2=-\left(-\sqrt{6}x+\sqrt{3}+3\right)$

Learn how to solve equations with square roots problems step by step online.

$x^2=-\left(-\sqrt{6}x+\sqrt{3}+3\right)$

Learn how to solve equations with square roots problems step by step online. Solve the equation with radicals 3^1/2+x^2-6^1/2x+3=0. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -\sqrt{6}x+\sqrt{3}+3 from both sides of the equation. Simplify the product -(-\sqrt{6}x+\sqrt{3}+3). Move everything to the left hand side of the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-\sqrt{6} and c=4.732051. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

$x=\frac{\sqrt{6}+3.595581i}{2},\:x=\frac{\sqrt{6}-3.595581i}{2}$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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0
a
b
c
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g
m
n
u
v
w
x
y
z
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(◻)
+
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×
◻/◻
/
÷
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e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main Topic: Equations with Square Roots

Those equations that they degree (greatest exponent) equals 2.