What are the solutions to the equation solvefor x,x^2+14xy+49y^2=100 ?

The solutions to the equation solvefor x,x^2+14xy+49y^2=100 are x=-7y+10,x=-7y-10

Find the zeros of solvefor x,x^2+14xy+49y^2=100

The zeros of solvefor x,x^2+14xy+49y^2=100 are x=-7y+10,x=-7y-10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solve for

x, x^{2} + 14 x y + 49 y^{2} = 100

x = - 7 y + 10, x = - 7 y - 10

Solution steps

x^{2} + 14 x y + 49 y^{2} = 100

Move

100

to the left side

x^{2} + 14 x y + 49 y^{2} - 100 = 0

Write in the standard form

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

x^{2} + 14 y x + 49 y^{2} - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 y \pm ( 14 y ) ^{2} - 4 \cdot 1 \cdot ( 49 y ^{2} - 100 )}{2 \cdot 1}

(14 y)^{2} - 4 \cdot 1 \cdot (49 y^{2} - 100) = 20

x_{1, 2} = \frac{- 14 y \pm 20}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 14 y + 20}{2 \cdot 1}, x_{2} = \frac{- 14 y - 20}{2 \cdot 1}

x = \frac{- 14 y + 20}{2 \cdot 1} : - 7 y + 10

x = \frac{- 14 y - 20}{2 \cdot 1} : - 7 y - 10

The solutions to the quadratic equation are:

x = - 7 y + 10, x = - 7 y - 10

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

5 x^{2} + 6 x + 1

x^{2} + 16 x = - 63

x^{2} + 4 x - 7 = 0

x^{2} + 22 = 7 x

What are the solutions to the equation solvefor x,x^2+14xy+49y^2=100 ?
The solutions to the equation solvefor x,x^2+14xy+49y^2=100 are x=-7y+10,x=-7y-10
Find the zeros of solvefor x,x^2+14xy+49y^2=100
The zeros of solvefor x,x^2+14xy+49y^2=100 are x=-7y+10,x=-7y-10