What are the solutions to the equation x^2-6x=3 ?

The solutions to the equation x^2-6x=3 are x=3+2sqrt(3),x=3-2sqrt(3)

Find the zeros of x^2-6x=3

The zeros of x^2-6x=3 are x=3+2sqrt(3),x=3-2sqrt(3)

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x^{2} - 6 x = 3

x = 3 + 23, x = 3 - 23

Decimal Notation

x = 6.46410 \dots, x = - 0.46410 \dots

Solution steps

x^{2} - 6 x = 3

Move

3

to the left side

x^{2} - 6 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 3 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 3) = 43

x_{1, 2} = \frac{- ( - 6 ) \pm 4 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 3}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 3}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 3}{2 \cdot 1} : 3 + 23

x = \frac{- ( - 6 ) - 4 3}{2 \cdot 1} : 3 - 23

The solutions to the quadratic equation are:

x = 3 + 23, x = 3 - 23

p^{2} + 11 p + 10

x^{2} - 9 x - 20 = 0

2 x^{2} + 5 x - 3 > 0

22 \geq 4 m - 2 or 5 - 3 m \leq - 13

x^{- 1}

What are the solutions to the equation x^2-6x=3 ?
The solutions to the equation x^2-6x=3 are x=3+2sqrt(3),x=3-2sqrt(3)
Find the zeros of x^2-6x=3
The zeros of x^2-6x=3 are x=3+2sqrt(3),x=3-2sqrt(3)