Answer:
The solutions to the quadratic equations will be:

Step-by-step explanation:
Given the expression

Let us solve the equation by completing the square

Add (-6)² to both sides

simplify

Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.

so the expression becomes


solve

add 6 to both sides

Simplify

also solving

add 6 to both sides

Simplify

Therefore, the solutions to the quadratic equation will be:

No. Since you can only draw from the corners to get triangles, you will end up with two right triangles because of the corners. If it is a right triangle, it can obviously not be obtuse.
Answer:
89 2 irrational roots
Step-by-step explanation:
The discriminant Is b²-4ac when the equation is in the form
ax²+bx+c so in the equation
a=2 b=5 and c=-8
plug into the equation for the discriminant
so 5²-4(2)(-8)
25-(-64) 2 negatives make a positive so
25+64=89
since 89 isn’t a perfect square 2 irrational roots
Answer:
Step-by-step explanation:
Since the original price of the sofa is 1,029.00 and the sale price of the sofa is 1/3 the original price, it means that the sale price is
1/3 × 1029 = 343
A customer can get an additional 5%off discount off the sale price for paying with cash. This means that the amount that this customer would pay since he is paying cash is
343 - (5/100 × 343) = 325.85
Since at checkout, a 6.5% sales tax on the final price is added to the cost of the sofa, then the total cost of the sofa for this customer is
325.85 + (6.5/100 × 325.85) = 347.03025