Answer:
x = 2 ±i
Step-by-step explanation:
x^2 = 4x-5
Subtract 4x from each side
x^2 - 4x = 4x-5 -4x
x^2 - 4x= -5
Complete the square
Take the coefficient of the x term, divide by 2 and square it
-4/2 =2 2^2 =4
Add 4 to each side
x^2 -4x+4 = -5 +4
The left side is (x-coefficient of the x term/2)^2
(x-2)^2 = -1
Take the square root of each side
sqrt((x-2)^2) = sqrt(-1)
x-2 = ±i
Add 2 to each side
x-2+2 = 2 ±i
x = 2 ±i
Answer:
[-1, ∞ )
Step-by-step explanation:
The use of parentheses is essential here. I am assuming that you meant:
y=√(x-5) - 1
Note that √(x-5) has the range [0, ∞ ). The domain is [5, ∞ ).
Thus, y=√(x-5) - 1 has the range [-1, ∞ )
15,840 feet. best of luck mate
Answer:
Question 1: RS=47
Question 2: x=6
Step-by-step explanation:
Question 1:
Step 1: 3x+5=2x+15+6x-37
Step 2: 3x+5=8x-22/2
Step 3: 3x+5=4x-11
Step 4: x=16
Step 5: 2(16)+15=32+15=47
<u>RS= 47</u>
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Question 2:
Step 1: 7x+2+25x-14=180
Step 2: 32x-12=180
Step 3: 32x=192 (divide 32 from each side)
<u>x=6</u>
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