Question

X^2+xy-6y^2 by x^2-3xy+2y^2​

Answer 1

Answer:

x=−y

Step-by-step 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