What are the solutions to the equation 6x^2-84x+6=0 ?

The solutions to the equation 6x^2-84x+6=0 are x=7+4sqrt(3),x=7-4sqrt(3)

Find the zeros of 6x^2-84x+6=0

The zeros of 6x^2-84x+6=0 are x=7+4sqrt(3),x=7-4sqrt(3)

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6 x^{2} - 84 x + 6 = 0

x = 7 + 43, x = 7 - 43

Decimal Notation

x = 13.92820 \dots, x = 0.07179 \dots

Solution steps

6 x^{2} - 84 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 84 ) \pm ( - 84 ) ^{2} - 4 \cdot 6 \cdot 6}{2 \cdot 6}

(- 84)^{2} - 4 \cdot 6 \cdot 6 = 483

x_{1, 2} = \frac{- ( - 84 ) \pm 48 3}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 84 ) + 48 3}{2 \cdot 6}, x_{2} = \frac{- ( - 84 ) - 48 3}{2 \cdot 6}

x = \frac{- ( - 84 ) + 48 3}{2 \cdot 6} : 7 + 43

x = \frac{- ( - 84 ) - 48 3}{2 \cdot 6} : 7 - 43

The solutions to the quadratic equation are:

x = 7 + 43, x = 7 - 43

(k + 4) x^{2} - 1 = (2 k + 2) x - k

x (x + 3) = 2

- 6 x - x^{2} - 8

x^{2} - 8 x - 64 = - 8 x

3 x^{2} - 13 x - 30 = 0

What are the solutions to the equation 6x^2-84x+6=0 ?
The solutions to the equation 6x^2-84x+6=0 are x=7+4sqrt(3),x=7-4sqrt(3)
Find the zeros of 6x^2-84x+6=0
The zeros of 6x^2-84x+6=0 are x=7+4sqrt(3),x=7-4sqrt(3)