What are the solutions to the equation solvefor x,x^2-9y^2+2x-54y-80=0 ?

The solutions to the equation solvefor x,x^2-9y^2+2x-54y-80=0 are x=3y+8,x=-3y-10

Find the zeros of solvefor x,x^2-9y^2+2x-54y-80=0

The zeros of solvefor x,x^2-9y^2+2x-54y-80=0 are x=3y+8,x=-3y-10

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solve for

x, x^{2} - 9 y^{2} + 2 x - 54 y - 80 = 0

x = 3 y + 8, x = - 3 y - 10

Solution steps

x^{2} - 9 y^{2} + 2 x - 54 y - 80 = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} + 2 x - 9 y^{2} - 54 y - 80 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot ( - 9 y ^{2} - 54 y - 80 )}{2 \cdot 1}

Simplify

2^{2} - 4 \cdot 1 \cdot (- 9 y^{2} - 54 y - 80) : 6 (y + 3)

x_{1, 2} = \frac{- 2 \pm 6 ( y + 3 )}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 2 + 6 ( y + 3 )}{2 \cdot 1}, x_{2} = \frac{- 2 - 6 ( y + 3 )}{2 \cdot 1}

x = \frac{- 2 + 6 ( y + 3 )}{2 \cdot 1} : 3 y + 8

x = \frac{- 2 - 6 ( y + 3 )}{2 \cdot 1} : - 3 y - 10

The solutions to the quadratic equation are:

x = 3 y + 8, x = - 3 y - 10

x^{2} - 91 x + c = 0

x^{2} + 4.5 x + 5 = 0

x^{2} + 7 x - 2 = 0

3 x^{2} + 8 x - 11 = 0

x^{2} - 4 x + 4 = 0

What are the solutions to the equation solvefor x,x^2-9y^2+2x-54y-80=0 ?
The solutions to the equation solvefor x,x^2-9y^2+2x-54y-80=0 are x=3y+8,x=-3y-10
Find the zeros of solvefor x,x^2-9y^2+2x-54y-80=0
The zeros of solvefor x,x^2-9y^2+2x-54y-80=0 are x=3y+8,x=-3y-10