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X^2+xy-6y^2 by x^2-3xy+2y^2​

X^2+xy-6y^2 by x^2-3xy+2y^2​-example-1

1 Answer

8 votes

Answer:

x=−y

Explanation:

x

2

+y

2

+2xy=0

All equations of the form ax

2

+bx+c=0 can be solved using the quadratic formula:

2a

−b±

b

2

−4ac

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x

2

+2yx+y

2

=0

This equation is in standard form: ax

2

+bx+c=0. Substitute 1 for a, 2y for b, and y

2

for c in the quadratic formula,

2a

−b±

b

2

−4ac

.

x=

2

−2y±

(2y)

2

−4y

2

Square 2y.

x=

2

−2y±

4y

2

−4y

2

Add 4y

2

to −4y

2

.

x=

2

−2y±

0

Take the square root of 0.

x=−

2

2y

Divide −2y by 2.

x=−y

User Magofoco
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