What are the solutions to the equation x^2+10x=5 ?

The solutions to the equation x^2+10x=5 are x=-5+sqrt(30),x=-5-sqrt(30)

Find the zeros of x^2+10x=5

The zeros of x^2+10x=5 are x=-5+sqrt(30),x=-5-sqrt(30)

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x^{2} + 10 x = 5

x = - 5 + 30, x = - 5 - 30

Decimal Notation

x = 0.47722 \dots, x = - 10.47722 \dots

Solution steps

x^{2} + 10 x = 5

Move

5

to the left side

x^{2} + 10 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot ( - 5 )}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot (- 5) = 230

x_{1, 2} = \frac{- 10 \pm 2 30}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 2 30}{2 \cdot 1}, x_{2} = \frac{- 10 - 2 30}{2 \cdot 1}

x = \frac{- 10 + 2 30}{2 \cdot 1} : - 5 + 30

x = \frac{- 10 - 2 30}{2 \cdot 1} : - 5 - 30

The solutions to the quadratic equation are:

x = - 5 + 30, x = - 5 - 30

0 = x^{2} - 12 x + 1

4 x^{2} - 16 x + 22

x, 3 x - x^{2} - 6 x y = 0

(x + 5) (x - 5) - 5 (x - 4) = (x - 4) 2

x^{2} - 2 a x = - (a^{2} - b^{2})

What are the solutions to the equation x^2+10x=5 ?
The solutions to the equation x^2+10x=5 are x=-5+sqrt(30),x=-5-sqrt(30)
Find the zeros of x^2+10x=5
The zeros of x^2+10x=5 are x=-5+sqrt(30),x=-5-sqrt(30)