What are the solutions to the equation B=(x+8)^2+(x-8)^2-(x+2)(x-2) ?

The solutions to the equation B=(x+8)^2+(x-8)^2-(x+2)(x-2) are x=sqrt(B-132),x=-sqrt(B-132)

Find the zeros of B=(x+8)^2+(x-8)^2-(x+2)(x-2)

The zeros of B=(x+8)^2+(x-8)^2-(x+2)(x-2) are x=sqrt(B-132),x=-sqrt(B-132)

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B = (x + 8)^{2} + (x - 8)^{2} - (x + 2) (x - 2)

x = B - 132, x = - B - 132

Solution steps

B = (x + 8)^{2} + (x - 8)^{2} - (x + 2) (x - 2)

Expand

(x + 8)^{2} + (x - 8)^{2} - (x + 2) (x - 2) : x^{2} + 132

B = x^{2} + 132

Switch sides

x^{2} + 132 = B

Move

B

to the left side

x^{2} + 132 - B = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 0 \pm 0 ^{2} - 4 \cdot 1 \cdot ( 132 - B )}{2 \cdot 1}

Simplify

0^{2} - 4 \cdot 1 \cdot (132 - B) : 2 B - 132

x_{1, 2} = \frac{- 0 \pm 2 B - 132}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 0 + 2 B - 132}{2 \cdot 1}, x_{2} = \frac{- 0 - 2 B - 132}{2 \cdot 1}

x = \frac{- 0 + 2 B - 132}{2 \cdot 1} : B - 132

x = \frac{- 0 - 2 B - 132}{2 \cdot 1} : - B - 132

The solutions to the quadratic equation are:

x = B - 132, x = - B - 132

w^{2} = 8 w - 7

4 x = x^{2} - 6 x + 9

(x - 5)^{2} = - 17

\frac{( ( x + 6 ) \cdot x )}{2} = 176

5 x^{2} - 725 x + 12500 = 0

What are the solutions to the equation B=(x+8)^2+(x-8)^2-(x+2)(x-2) ?
The solutions to the equation B=(x+8)^2+(x-8)^2-(x+2)(x-2) are x=sqrt(B-132),x=-sqrt(B-132)
Find the zeros of B=(x+8)^2+(x-8)^2-(x+2)(x-2)
The zeros of B=(x+8)^2+(x-8)^2-(x+2)(x-2) are x=sqrt(B-132),x=-sqrt(B-132)