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den301095 [7]
3 years ago
9

7 + x - 5 = x + 2 how do I answer?

Mathematics
1 answer:
ladessa [460]3 years ago
7 0
Given:7-x-5=x+2
1)combine like terms
2-x=x+2
2)Isolate the variable
-x=x+2-2
3)move x to the left
-x-x=0
4)combine like terms
-2x=0
5)Divide
X=0
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Solve for t. Express your answer in simplest and exact form.
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Answer:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

Step-by-step explanation:

Solve for t:

z = (h t^2)/2 + t q_1

z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:

(h t^2)/2 + t q_1 = z

Divide both sides by h/2:

t^2 + (2 t q_1)/h = (2 z)/h

Add q_1^2/h^2 to both sides:

t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2

Write the left hand side as a square:

(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2

Take the square root of both sides:

t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

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