What are the solutions to the equation x^2-6x-49=6x ?

The solutions to the equation x^2-6x-49=6x are x=6+sqrt(85),x=6-sqrt(85)

Find the zeros of x^2-6x-49=6x

The zeros of x^2-6x-49=6x are x=6+sqrt(85),x=6-sqrt(85)

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x^{2} - 6 x - 49 = 6 x

x = 6 + 85, x = 6 - 85

Decimal Notation

x = 15.21954 \dots, x = - 3.21954 \dots

Solution steps

x^{2} - 6 x - 49 = 6 x

Move

6 x

to the left side

x^{2} - 12 x - 49 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot ( - 49 )}{2 \cdot 1}

(- 12)^{2} - 4 \cdot 1 \cdot (- 49) = 285

x_{1, 2} = \frac{- ( - 12 ) \pm 2 85}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 2 85}{2 \cdot 1}, x_{2} = \frac{- ( - 12 ) - 2 85}{2 \cdot 1}

x = \frac{- ( - 12 ) + 2 85}{2 \cdot 1} : 6 + 85

x = \frac{- ( - 12 ) - 2 85}{2 \cdot 1} : 6 - 85

The solutions to the quadratic equation are:

x = 6 + 85, x = 6 - 85

2 x + 1 = - 9

∣ 2 x - 5 ∣ \leq ∣ 5 x + 4 ∣

- (x + 3) + 0.7 \leq 0.1 (x + \frac{1}{2})

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

b - 6 = - 11

What are the solutions to the equation x^2-6x-49=6x ?
The solutions to the equation x^2-6x-49=6x are x=6+sqrt(85),x=6-sqrt(85)
Find the zeros of x^2-6x-49=6x
The zeros of x^2-6x-49=6x are x=6+sqrt(85),x=6-sqrt(85)