What are the solutions to the equation x^2+8x=-5 ?

The solutions to the equation x^2+8x=-5 are x=-4+sqrt(11),x=-4-sqrt(11)

Find the zeros of x^2+8x=-5

The zeros of x^2+8x=-5 are x=-4+sqrt(11),x=-4-sqrt(11)

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x^{2} + 8 x = - 5

x = - 4 + 11, x = - 4 - 11

Decimal Notation

x = - 0.68337 \dots, x = - 7.31662 \dots

Solution steps

x^{2} + 8 x = - 5

Move

5

to the left side

x^{2} + 8 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot 5}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot 5 = 211

x_{1, 2} = \frac{- 8 \pm 2 11}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 8 + 2 11}{2 \cdot 1}, x_{2} = \frac{- 8 - 2 11}{2 \cdot 1}

x = \frac{- 8 + 2 11}{2 \cdot 1} : - 4 + 11

x = \frac{- 8 - 2 11}{2 \cdot 1} : - 4 - 11

The solutions to the quadratic equation are:

x = - 4 + 11, x = - 4 - 11

x, C y^{2} = x^{2} + y

u^{2} - 9 = (\frac{24}{25}) u^{2}

3 k^{2} - 19 = 15 k - 1

(2 x + 3)^{2} = - 4

4 t^{2} + 2 t - (3 + 3) = 0

What are the solutions to the equation x^2+8x=-5 ?
The solutions to the equation x^2+8x=-5 are x=-4+sqrt(11),x=-4-sqrt(11)
Find the zeros of x^2+8x=-5
The zeros of x^2+8x=-5 are x=-4+sqrt(11),x=-4-sqrt(11)