What are the solutions to the equation x^2=3x+3 ?

The solutions to the equation x^2=3x+3 are x=(3+sqrt(21))/2 ,x=(3-sqrt(21))/2

Find the zeros of x^2=3x+3

The zeros of x^2=3x+3 are x=(3+sqrt(21))/2 ,x=(3-sqrt(21))/2

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x^{2} = 3 x + 3

x = \frac{3 + 21}{2}, x = \frac{3 - 21}{2}

Solution steps

x^{2} = 3 x + 3

Move

3

to the left side

x^{2} - 3 = 3 x

Move

3 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

(- 3)^{2} - 4 \cdot 1 \cdot (- 3) = 21

x_{1, 2} = \frac{- ( - 3 ) \pm 21}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 21}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 21}{2 \cdot 1}

x = \frac{- ( - 3 ) + 21}{2 \cdot 1} : \frac{3 + 21}{2}

x = \frac{- ( - 3 ) - 21}{2 \cdot 1} : \frac{3 - 21}{2}

The solutions to the quadratic equation are:

x = \frac{3 + 21}{2}, x = \frac{3 - 21}{2}

4 x^{2} + 11 x - 3 = 0

- 4 (2 x + 5) + x + 2 = - 11

6 c^{2} - 28 c + 16

4 = - \frac{2}{7} x + 2

- 2 (x + 1) \geq 12

What are the solutions to the equation x^2=3x+3 ?
The solutions to the equation x^2=3x+3 are x=(3+sqrt(21))/2 ,x=(3-sqrt(21))/2
Find the zeros of x^2=3x+3
The zeros of x^2=3x+3 are x=(3+sqrt(21))/2 ,x=(3-sqrt(21))/2