Answer:
x = 4 ±
Step-by-step explanation:
Given
x² - 8x - 14 = 0 ( add 14 to both sides )
x² - 8x = 14
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 14 + 16, that is
(x - 4)² = 30 ( take the square root of both sides )
x - 4 = ± ( add 4 to both sides )
x = 4 ± , thus the exact solutions are
x = 4 -
x = 4 +
Answer:
Quarters: 7
Dimes: 9
Nickels: 14
Step-by-step explanation:
Bank --> 30 coins
Base Equations:
N+D+Q=30
5N+10D+25Q=335
Equation 1: 2Q=N
Equation 2: D=30-(N+Q)
Substitute Equation1 : D=30-(2Q+Q)
D=30-3Q
0.05(2Q)+0.10(30-3Q)+0.25Q=3.35
0.10Q+3-0.3Q+0.25Q=3.35
0.5Q+3=3.35
0.5Q=0.35
Q=7
if Q=7, N= 2*Q
N=14
D=9
Check Step:
7*25=175
14*5=70
9*10=90
175+70+90=335
Correct