What are the solutions to the equation x^2+6x=55 ?

The solutions to the equation x^2+6x=55 are x=5,x=-11

Find the zeros of x^2+6x=55

The zeros of x^2+6x=55 are x=5,x=-11

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x^{2} + 6 x = 55

x = 5, x = - 11

Solution steps

x^{2} + 6 x = 55

Move

55

to the left side

x^{2} + 6 x - 55 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 55 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 55) = 16

x_{1, 2} = \frac{- 6 \pm 16}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 16}{2 \cdot 1}, x_{2} = \frac{- 6 - 16}{2 \cdot 1}

x = \frac{- 6 + 16}{2 \cdot 1} : 5

x = \frac{- 6 - 16}{2 \cdot 1} : - 11

The solutions to the quadratic equation are:

x = 5, x = - 11

- 3 x^{2} - 4 x + 2 = 0

x^{2} = 5 x + 14

3 x - 8 = 7 x + 4

∣ x ∣ \leq 6

x + 8 > 5

What are the solutions to the equation x^2+6x=55 ?
The solutions to the equation x^2+6x=55 are x=5,x=-11
Find the zeros of x^2+6x=55
The zeros of x^2+6x=55 are x=5,x=-11