What are the solutions to the equation x^2-6x-66=0 ?

The solutions to the equation x^2-6x-66=0 are x=3+5sqrt(3),x=3-5sqrt(3)

Find the zeros of x^2-6x-66=0

The zeros of x^2-6x-66=0 are x=3+5sqrt(3),x=3-5sqrt(3)

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x^{2} - 6 x - 66 = 0

x = 3 + 53, x = 3 - 53

Decimal Notation

x = 11.66025 \dots, x = - 5.66025 \dots

Solution steps

x^{2} - 6 x - 66 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 66 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 66) = 103

x_{1, 2} = \frac{- ( - 6 ) \pm 10 3}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 10 3}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 10 3}{2 \cdot 1}

x = \frac{- ( - 6 ) + 10 3}{2 \cdot 1} : 3 + 53

x = \frac{- ( - 6 ) - 10 3}{2 \cdot 1} : 3 - 53

The solutions to the quadratic equation are:

x = 3 + 53, x = 3 - 53

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

28 x^{2} - 21 x = 0

y, e^{2 x} = 3 y^{2}

(x - 9)^{2} + (x + 3)^{2} = 10 x + 54

10 x^{2} - 100 = 0

What are the solutions to the equation x^2-6x-66=0 ?
The solutions to the equation x^2-6x-66=0 are x=3+5sqrt(3),x=3-5sqrt(3)
Find the zeros of x^2-6x-66=0
The zeros of x^2-6x-66=0 are x=3+5sqrt(3),x=3-5sqrt(3)