What are the solutions to the equation X^2-2(X)(4)-(-4)^2=2(X+8) ?

The solutions to the equation X^2-2(X)(4)-(-4)^2=2(X+8) are X=5+sqrt(57),X=5-sqrt(57)

Find the zeros of X^2-2(X)(4)-(-4)^2=2(X+8)

The zeros of X^2-2(X)(4)-(-4)^2=2(X+8) are X=5+sqrt(57),X=5-sqrt(57)

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X^{2} - 2 (X) (4) - (- 4)^{2} = 2 (X + 8)

X = 5 + 57, X = 5 - 57

Decimal Notation

X = 12.54983 \dots, X = - 2.54983 \dots

Solution steps

X^{2} - 2 (X) (4) - (- 4)^{2} = 2 (X + 8)

Expand

X^{2} - 2 (X) (4) - (- 4)^{2} : X^{2} - 8 X - 16

Expand

2 (X + 8) : 2 X + 16

X^{2} - 8 X - 16 = 2 X + 16

Move

16

to the left side

X^{2} - 8 X - 32 = 2 X

Move

2 X

to the left side

X^{2} - 10 X - 32 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 1 \cdot ( - 32 )}{2 \cdot 1}

(- 10)^{2} - 4 \cdot 1 \cdot (- 32) = 257

X_{1, 2} = \frac{- ( - 10 ) \pm 2 57}{2 \cdot 1}

Separate the solutions

X_{1} = \frac{- ( - 10 ) + 2 57}{2 \cdot 1}, X_{2} = \frac{- ( - 10 ) - 2 57}{2 \cdot 1}

X = \frac{- ( - 10 ) + 2 57}{2 \cdot 1} : 5 + 57

X = \frac{- ( - 10 ) - 2 57}{2 \cdot 1} : 5 - 57

The solutions to the quadratic equation are:

X = 5 + 57, X = 5 - 57

(5 p + 3)^{2} = 8

2 x^{2} - 4 x + 17

2 x^{2} - 6 x = 4 x + 7

0.1 n^{2} + 100 n + 8 = 3600000

x^{2} + 0.3 x - 0.4 = 0

What are the solutions to the equation X^2-2(X)(4)-(-4)^2=2(X+8) ?
The solutions to the equation X^2-2(X)(4)-(-4)^2=2(X+8) are X=5+sqrt(57),X=5-sqrt(57)
Find the zeros of X^2-2(X)(4)-(-4)^2=2(X+8)
The zeros of X^2-2(X)(4)-(-4)^2=2(X+8) are X=5+sqrt(57),X=5-sqrt(57)