What are the solutions to the equation x^2+14x+49=44 ?

The solutions to the equation x^2+14x+49=44 are x=-7+2sqrt(11),x=-7-2sqrt(11)

Find the zeros of x^2+14x+49=44

The zeros of x^2+14x+49=44 are x=-7+2sqrt(11),x=-7-2sqrt(11)

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x^{2} + 14 x + 49 = 44

x = - 7 + 211, x = - 7 - 211

Decimal Notation

x = - 0.36675 \dots, x = - 13.63324 \dots

Solution steps

x^{2} + 14 x + 49 = 44

Move

44

to the left side

x^{2} + 14 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 5}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot 5 = 411

x_{1, 2} = \frac{- 14 \pm 4 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 14 + 4 11}{2 \cdot 1}, x_{2} = \frac{- 14 - 4 11}{2 \cdot 1}

x = \frac{- 14 + 4 11}{2 \cdot 1} : - 7 + 211

x = \frac{- 14 - 4 11}{2 \cdot 1} : - 7 - 211

The solutions to the quadratic equation are:

x = - 7 + 211, x = - 7 - 211

\frac{x ^{2}}{4} - x - 3 = 0

(x + 4) (x - 9) + 5 x = 0

4 r^{2} - r = 5

5 x^{2} + 12 x - 4 = 0

- 4 x^{2} - 48 x - 208 = 0

What are the solutions to the equation x^2+14x+49=44 ?
The solutions to the equation x^2+14x+49=44 are x=-7+2sqrt(11),x=-7-2sqrt(11)
Find the zeros of x^2+14x+49=44
The zeros of x^2+14x+49=44 are x=-7+2sqrt(11),x=-7-2sqrt(11)