(I)
Given equation is x²-8x = -16
⇛ x²-8x+16 = 0
⇛ x²-4x-4x+16 = 0
⇛ x(x-4)-4(x-4) = 0
⇛ (x-4)(x-4) = 0
⇛ x-4 = 0 or x-4 = 0
⇛ x = 4 or x = 4
(ii)
Given equation is x²+2x+1 = 0
⇛ x²+x+x+1 = 0
⇛ x(x+1)+1(x+1) = 0
⇛ (x+1)(x+1) = 0
⇛ x+1 = 0 or x+1 = 0
⇛ x = -1 or x = -1
(iii)
Given equation is 4x²-24x-36 = 0
⇛ 4(x²-6x-9) = 0
⇛ x²-6x-9 = 0
⇛ x²-2(x)(3) = 9
On adding 3² both sides then
⇛ x²-2(3)x)+3² = 9+9
⇛ (x-3)² = 18
⇛ (x-3) = ±√18
⇛ x-3 = ±√(2×9)
⇛ x-3 = ±3√2
⇛ x = 3±3√2
⇛ x = 3+3√2 or 3-3√2
When you are asked to solve an equation, you need to isolate the variable which is t in this case. To isolate t, you would divide both sides by -5 and be left with t=-6 which is the final answer.
I hope this helps.
C = 4M + 5
4M = C - 5
M = (C - 5)/4
answer is D. Last one.
3 - 1 = 2
1/4 - 3/16 = 4/16 - 3/16 = 1/16
answer is : 2 1/16 (in mixed number) or 33/16 (in improper fraction)
Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.
Step-by-step explanation:
She has US$300, and she will withdraw half of it on pounds, and half of it in euros.
(half of US$300 is US$150)
We know that:
1 pound = US$1.6
(1 pound/US$1.6) = 1
Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.
And we also know that:
1 euro = US$ 1.3
then:
(1 euro/US$ 1.3) = 1
This means that:
US$150 = US$150*(1 euro/US$ 1.3) = (150/1.3) euros = 115.38 euros.
This means that:
115.38 - 93.75 = 21.63
This means that she has 21.63 more euros than pounds.
and:
115.38/93.75 = 1.23
She has 1.23 times more euros than pounds.
