What are the solutions to the equation 3x+x^2-3sqrt(3)-xsqrt(3)=0 ?

The solutions to the equation 3x+x^2-3sqrt(3)-xsqrt(3)=0 are x=sqrt(3),x=-3

Find the zeros of 3x+x^2-3sqrt(3)-xsqrt(3)=0

The zeros of 3x+x^2-3sqrt(3)-xsqrt(3)=0 are x=sqrt(3),x=-3

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3 x + x^{2} - 33 - x 3 = 0

x = 3, x = - 3

Decimal Notation

x = 1.73205 \dots, x = - 3

Solution steps

3 x + x^{2} - 33 - x 3 = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} + (3 - 3) x - 33 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( 3 - 3 ) \pm ( 3 - 3 ) ^{2} - 4 \cdot 1 \cdot ( - 3 3 )}{2 \cdot 1}

(3 - 3)^{2} - 4 \cdot 1 \cdot (- 33) = 3 + 3

x_{1, 2} = \frac{- ( 3 - 3 ) \pm ( 3 + 3 )}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( 3 - 3 ) + 3 + 3}{2 \cdot 1}, x_{2} = \frac{- ( 3 - 3 ) - ( 3 + 3 )}{2 \cdot 1}

x = \frac{- ( 3 - 3 ) + 3 + 3}{2 \cdot 1} : 3

x = \frac{- ( 3 - 3 ) - ( 3 + 3 )}{2 \cdot 1} : - 3

The solutions to the quadratic equation are:

x = 3, x = - 3

x, x^{2} + 5 x + 2 = - 4 es

- 3 x^{2} + 6 x - 2

x^{2} = 10 x - 23

x^{2} + 21 x + 110 = 0

56 (p^{2} - 1) = 15 p

What are the solutions to the equation 3x+x^2-3sqrt(3)-xsqrt(3)=0 ?
The solutions to the equation 3x+x^2-3sqrt(3)-xsqrt(3)=0 are x=sqrt(3),x=-3
Find the zeros of 3x+x^2-3sqrt(3)-xsqrt(3)=0
The zeros of 3x+x^2-3sqrt(3)-xsqrt(3)=0 are x=sqrt(3),x=-3