What are the solutions to the equation (x+2)2-x^2=60 ?

The solutions to the equation (x+2)2-x^2=60 are x=1-sqrt(55)i,x=1+sqrt(55)i

Find the zeros of (x+2)2-x^2=60

The zeros of (x+2)2-x^2=60 are x=1-sqrt(55)i,x=1+sqrt(55)i

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(x + 2) 2 - x^{2} = 60

x = 1 - 55 i, x = 1 + 55 i

Solution steps

(x + 2) \cdot 2 - x^{2} = 60

Expand

(x + 2) \cdot 2 - x^{2} : 2 x + 4 - x^{2}

2 x + 4 - x^{2} = 60

Move

60

to the left side

- x^{2} + 2 x - 56 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 1 ) ( - 56 )}{2 ( - 1 )}

Simplify

2^{2} - 4 (- 1) (- 56) : 255 i

x_{1, 2} = \frac{- 2 \pm 2 55 i}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 2 + 2 55 i}{2 ( - 1 )}, x_{2} = \frac{- 2 - 2 55 i}{2 ( - 1 )}

x = \frac{- 2 + 2 55 i}{2 ( - 1 )} : 1 - 55 i

x = \frac{- 2 - 2 55 i}{2 ( - 1 )} : 1 + 55 i

The solutions to the quadratic equation are:

x = 1 - 55 i, x = 1 + 55 i

4 x^{2} - \frac{5}{2} x - 3 = 0

x^{2} - 14 x + 30 = 0

6 m (12 m - 5) = 0

5 x^{2} + 9 x + 5 = 0

3 x (x + 1) - x = 33 - (x - 3)^{2}

What are the solutions to the equation (x+2)2-x^2=60 ?
The solutions to the equation (x+2)2-x^2=60 are x=1-sqrt(55)i,x=1+sqrt(55)i
Find the zeros of (x+2)2-x^2=60
The zeros of (x+2)2-x^2=60 are x=1-sqrt(55)i,x=1+sqrt(55)i