What are the solutions to the equation x^2-6x-71=0 ?

The solutions to the equation x^2-6x-71=0 are x=3+4sqrt(5),x=3-4sqrt(5)

Find the zeros of x^2-6x-71=0

The zeros of x^2-6x-71=0 are x=3+4sqrt(5),x=3-4sqrt(5)

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x^{2} - 6 x - 71 = 0

x = 3 + 45, x = 3 - 45

Decimal Notation

x = 11.94427 \dots, x = - 5.94427 \dots

Solution steps

x^{2} - 6 x - 71 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 71 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 71) = 85

x_{1, 2} = \frac{- ( - 6 ) \pm 8 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 8 5}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 8 5}{2 \cdot 1}

x = \frac{- ( - 6 ) + 8 5}{2 \cdot 1} : 3 + 45

x = \frac{- ( - 6 ) - 8 5}{2 \cdot 1} : 3 - 45

The solutions to the quadratic equation are:

x = 3 + 45, x = 3 - 45

4 c^{2} + 17 c + 12 = 0

- 3 x^{2} - 3 x + 36 = 0

x^{2} + 3 x = 6 x

x^{2} - 22 x - 3 = 0

3 x - 5 x (x - 1) = 3

What are the solutions to the equation x^2-6x-71=0 ?
The solutions to the equation x^2-6x-71=0 are x=3+4sqrt(5),x=3-4sqrt(5)
Find the zeros of x^2-6x-71=0
The zeros of x^2-6x-71=0 are x=3+4sqrt(5),x=3-4sqrt(5)