What are the solutions to the equation x^2+21x=11-x^2 ?

The solutions to the equation x^2+21x=11-x^2 are x= 1/2 ,x=-11

Find the zeros of x^2+21x=11-x^2

The zeros of x^2+21x=11-x^2 are x= 1/2 ,x=-11

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x^{2} + 21 x = 11 - x^{2}

x = \frac{1}{2}, x = - 11

Decimal Notation

x = 0.5, x = - 11

Solution steps

x^{2} + 21 x = 11 - x^{2}

Move

x^{2}

to the left side

2 x^{2} + 21 x = 11

Move

11

to the left side

2 x^{2} + 21 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 21 \pm 2 1 ^{2} - 4 \cdot 2 ( - 11 )}{2 \cdot 2}

2 1^{2} - 4 \cdot 2 (- 11) = 23

x_{1, 2} = \frac{- 21 \pm 23}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 21 + 23}{2 \cdot 2}, x_{2} = \frac{- 21 - 23}{2 \cdot 2}

x = \frac{- 21 + 23}{2 \cdot 2} : \frac{1}{2}

x = \frac{- 21 - 23}{2 \cdot 2} : - 11

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = - 11

4 x^{2} - 64 = 8 x - 4

x^{2} - 8 x + 1

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

- 2 x^{2} - 12 x - 9 = 0

x^{2} + 22 x = 31

What are the solutions to the equation x^2+21x=11-x^2 ?
The solutions to the equation x^2+21x=11-x^2 are x= 1/2 ,x=-11
Find the zeros of x^2+21x=11-x^2
The zeros of x^2+21x=11-x^2 are x= 1/2 ,x=-11