a = 30
a = 16
-a² + 46a -480 = 0
(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0
(-a + 30) = 0 ; (a - 16) = 0
-a = -30 ; a = 16
a = 30
To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0
a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0
0.00100037227 will be your correct answer.
17 and 4 multiply to 68 and have a difference of 13
Step 1. Add 72 to both sides
5y = 7 + 5x + 72
Step 2. Simplify 7 + 5x + 72 to 5x + 79
5y = 5x + 79
Step 3. Divide both sides by 5
y = 5x + 79/5