Answer:
25/4 will have to be added to "complete the square"
Step-by-step explanation:
x² - 5x - 18 = 0
x² - 5x = 18
Find the half of the coefficient of x and square it
(5/2)² = 25/4
Add 25/4 to both sides to complete the square
x² - 5x + 25/4 = 18 + 25/4
x² - 5x + 25/4 = 18(4/4) + 25/4
x² - 5x + 25/4 = 72/4 + 25/4
x² - 5x + 25/4 = (72+25)/4
x² - 5x + 25/4 = 97/4
(x - 5/2)² = 97/4
Find the square root of both sides
√(x - 5/2)² = ±√97/4
x - 5/2 = √97/2
x = √97/2 + 5/2 or x = -√97/2 + 5/2
x = 7.42443 or -2.42443
Answer:
(a) 30 & younger (no facial hair are 1,2,4,9. with facial hair are 10,12,14)
older than 30 (no facial hair are 3,4,8 . with facial hair are 6,7,11,13,15)
Answer:
According to Pythagoras Theorem- a²+b²=h²
So, a²+13²=29²
=>a²+169=841
=>a²= 841-169= 692
=> square root of 692= 26.3
<h2><em>
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Answer:
4(t+25) = (t+50) - 4 (0.15t)
4t + 100 = t + 50 - 0.6t
4t + 100 = 50 + 0.4t
4t - 0.4t + 100 = 50 + 0.4t - 0.4t
3.6t + 100 = 50
3.6t + 100 - 100 = 50 - 100
3.6t = -50
3.6t / 3.6 = -50 / 3.6
t = - 13.9
Step-by-step explanation:
