Answer:
one solution : x = -1
Step-by-step explanation:
look this solution :
Answer:
No
Step-by-step explanation:
The triangle is actually an Acute Scalene. No angles in the triangle are 90 degrees.
Answer:
Solution
p = {-3, 1}
Step-by-step explanation:
Simplifying
p2 + 2p + -3 = 0
Reorder the terms:
-3 + 2p + p2 = 0
Solving
-3 + 2p + p2 = 0
Solving for variable 'p'.
Factor a trinomial.
(-3 + -1p)(1 + -1p) = 0
Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve:
Simplifying
-3 + -1p = 0
Solving
-3 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -1p = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -1p = 0 + 3
-1p = 0 + 3
Combine like terms: 0 + 3 = 3
-1p = 3
Divide each side by '-1'.
p = -3
Simplifying
p = -3
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:
Simplifying
1 + -1p = 0
Solving
1 + -1p = 0
Move all terms containing p to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1
Combine like terms: 0 + -1 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
Solution
p = {-3, 1}
Answer:
- (-11.70, -2.05), (4.70, 5.10)
Step-by-step explanation:
<u>Given equations</u>
<u>Solving the first equation for x:</u>
- (x+5)(x+2)=65
- x^2 + 7x + 10 = 65
- x^2 + 7x - 55 = 0
- x = (-7 ± √(49+4*55))/2
- x = -11.70, x = 4.70
<u>Then solving for y:</u>
- y= 24/(-11.7) = -2.05
- y = 24/4.7 = 5.10
<u>Solution set: </u>
- (-11.70, -2.05), (4.70, 5.10)
