Answer:
The quadratic equation has two complex solutions
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form 
is equal to
in this problem we have
Equate to cero
so
substitute in the formula
Remember that
so
therefore
The quadratic equation has two complex solutions
Answer:
y = -4
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = -12 | (equation 1)
3 y - 2 x = -16 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{4 x + 5 y = -12 | (equation 1)
0 x+(11 y)/2 = -22 | (equation 2)
Multiply equation 2 by 2/11:
{4 x + 5 y = -12 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{4 x+0 y = 8 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 2 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 2
, y = -4
The width is 11m and the length is 23m
