What are the solutions to the equation solvefor x,8x^2-21xy+13y^2=0 ?

The solutions to the equation solvefor x,8x^2-21xy+13y^2=0 are x=(13y)/8 ,x=y

Find the zeros of solvefor x,8x^2-21xy+13y^2=0

The zeros of solvefor x,8x^2-21xy+13y^2=0 are x=(13y)/8 ,x=y

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solve for

x, 8 x^{2} - 21 x y + 13 y^{2} = 0

x = \frac{13 y}{8}, x = y

Solution steps

8 x^{2} - 21 x y + 13 y^{2} = 0

Write in the standard form

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

8 x^{2} - 21 y x + 13 y^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 y ) \pm ( - 21 y ) ^{2} - 4 \cdot 8 \cdot 13 y ^{2}}{2 \cdot 8}

Simplify

(- 21 y)^{2} - 4 \cdot 8 \cdot 13 y^{2} : 5 y

x_{1, 2} = \frac{- ( - 21 y ) \pm 5 y}{2 \cdot 8}

Separate the solutions

x_{1} = \frac{- ( - 21 y ) + 5 y}{2 \cdot 8}, x_{2} = \frac{- ( - 21 y ) - 5 y}{2 \cdot 8}

x = \frac{- ( - 21 y ) + 5 y}{2 \cdot 8} : \frac{13 y}{8}

x = \frac{- ( - 21 y ) - 5 y}{2 \cdot 8} : y

The solutions to the quadratic equation are:

x = \frac{13 y}{8}, x = y

x^{2} + 12 x = - 2 x - 40

3 (x - 4)^{2} = 75

43 x^{2} + 5 x - 23 = 0

25 x^{2} + 5 x - 2 = 0

4 m^{2} + 12 m = 0

What are the solutions to the equation solvefor x,8x^2-21xy+13y^2=0 ?
The solutions to the equation solvefor x,8x^2-21xy+13y^2=0 are x=(13y)/8 ,x=y
Find the zeros of solvefor x,8x^2-21xy+13y^2=0
The zeros of solvefor x,8x^2-21xy+13y^2=0 are x=(13y)/8 ,x=y