Answer:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
Answer:
Step-by-step explanation: emma's amount be X . justin has $7.50+x because he has $7.50 more than emma.Since emma has 7.50+x-$12.to get everyones amount add what they have together which is=$7.50+x+$7.50+x-12 which in total is $63.00.after the calculations you get x=30.now distribute the x equally. so justin has $7.50+30=37.50.we also distribute it with emma's which is 7.50+30-12=25.5.
justin=$37.50
Emma=$25.50
to be sure add 37.50+25.50=$63
Answer:
total cost= $5,814
Step-by-step explanation:
Total linear feet measured: (110 x 2) + (270 x 2) = 760 linear ft
total sq ft= 760 x (7) = 5320 sq ft
total linear ft x labor= 760 x 1.70 = 1292 labor
Total sq ft x Cyclone fencing cost= 5320 x .85 = 4522
the total cost is 1292 + 4522 = $5,814
Simplify the following:
(3 sqrt(2) - 4)/(sqrt(3) - 2)
Multiply numerator and denominator of (3 sqrt(2) - 4)/(sqrt(3) - 2) by -1:
-(3 sqrt(2) - 4)/(2 - sqrt(3))
-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
(4 - 3 sqrt(2))/(2 - sqrt(3))
Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))
(2 - sqrt(3)) (sqrt(3) + 2) = 2×2 + 2 sqrt(3) - sqrt(3)×2 - sqrt(3) sqrt(3) = 4 + 2 sqrt(3) - 2 sqrt(3) - 3 = 1:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1
((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
Answer: (4 - 3 sqrt(2)) (sqrt(3) + 2)
