What are the solutions to the equation x^2+6x-6=0 ?

The solutions to the equation x^2+6x-6=0 are x=-3+sqrt(15),x=-3-sqrt(15)

Find the zeros of x^2+6x-6=0

The zeros of x^2+6x-6=0 are x=-3+sqrt(15),x=-3-sqrt(15)

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

x = - 3 + 15, x = - 3 - 15

Decimal Notation

x = 0.87298 \dots, x = - 6.87298 \dots

Solution steps

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

Solve with the quadratic formula

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

6^{2} - 4 \cdot 1 \cdot (- 6) = 215

x_{1, 2} = \frac{- 6 \pm 2 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 2 15}{2 \cdot 1}, x_{2} = \frac{- 6 - 2 15}{2 \cdot 1}

x = \frac{- 6 + 2 15}{2 \cdot 1} : - 3 + 15

x = \frac{- 6 - 2 15}{2 \cdot 1} : - 3 - 15

The solutions to the quadratic equation are:

x = - 3 + 15, x = - 3 - 15

\frac{a ^{2} - b ^{2}}{a ^{4} b} \cdot \frac{a b ^{2}}{3 a + 3 b}

40 \cdot \frac{π}{180}

0 < 1

3 a x - a y + 9 b x - 3 b y

\frac{15 !}{4 ! 11 !}

What are the solutions to the equation x^2+6x-6=0 ?
The solutions to the equation x^2+6x-6=0 are x=-3+sqrt(15),x=-3-sqrt(15)
Find the zeros of x^2+6x-6=0
The zeros of x^2+6x-6=0 are x=-3+sqrt(15),x=-3-sqrt(15)