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4 years ago

Solve for x in the equation x2+2x+1=17

2 answers:

8 0

Simplifying
x2 + 2x + 1 = 17
Reorder the terms
1 + 2x + x2 = 17
Solving
1 + 2x + x2 = 17
Solving for variable 'x'.
Reorder the terms:
1 + -17 + 2x + x2 = 17 + -17
Combine like terms:
1 + -17 = -16 -16 + 2x + x2 = 17 + -17 C
ombine like terms:
17 + -17 = 0 -16 + 2x + x2 = 0
Begin completing the square.
Move the constant term to the right:
Add '16' to each side of the equation
. -16 + 2x + 16 + x2 = 0 + 16
Reorder the terms:
-16 + 16 + 2x + x2 = 0 + 16
Combine like terms:
-16 + 16 = 0 0 + 2x + x2 = 0 + 16 2x + x2 = 0 + 16
Combine like terms:
0 + 16 = 16 2x + x2 = 16
The x term is 2x. Take half its coefficient (1).
Square it (1) and add it to both sides. Add '1' to each side of the equation.
2x + 1 + x2 = 16 + 1
Reorder the terms:
1 + 2x + x2 = 16 + 1
Combine like terms:
16 + 1 = 17 1 + 2x + x2 = 17
Factor a perfect square on the left side:
(x + 1)(x + 1) = 17
Calculate the square root of the right side:
4.123105626
Break this problem into two subproblems by setting
(x + 1) equal to 4.123105626 and -4.123105626. x + 1 = 4.123105626
Simplifying
x + 1 = 4.123105626
Reorder the terms:
1 + x = 4.123105626
Solving
1 + x = 4.123105626
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation.
1 + -1 + x = 4.123105626 + -1
Combine like terms:
1 + -1 = 0 0 + x = 4.123105626 + -1 x = 4.123105626 + -1
Combine like terms:
4.123105626 + -1 = 3.123105626 x = 3.123105626
Simplifying
x = 3.123105626
x + 1 = -4.123105626
Simplifying
x + 1 = -4.123105626
Reorder the terms:
1 + x = -4.123105626
Solving
1 + x = -4.123105626
Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation.
1 + -1 + x = -4.123105626 + -1
Combine like terms:
1 + -1 = 0 0 + x = -4.123105626 + -1 x = -4.123105626 + -1
Combine like terms:
-4.123105626 + -1 = -5.123105626 x = -5.123105626
Simplifying x = -5.123105626
x = {3.123105626, -5.123105626}

Sphinxa [80]4 years ago

7 0

If you meant 2x + 2x + 1 = 17: x = 4
Solve for x by simplifying both sides of the equation, then isolating the variable.

If you meant x2 + 2x + 1 = 17: x ≈ 3.1231056,−5.1231056x
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula. x = −1 ± √17x

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3 years ago

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1. Write an equation to represent the distance (d) that a person can run in t hours if she runs at a speed of 4 miles per hour.

Rudik [331]

Answer:

1. The equation that represent the distance (d) that a person can run in t hours is: d = 4t

2. The equation is: c = $0.98(20)

3. The equation is: L = 18(5)

Step-by-step explanation:

1. The variable d represents the distance over time, and t represents the hour in the equation so if you want to find the distance over time, you would say distance per hour. The per means to multiply, so every distance is equal to 4 miles per hour..

2. If the teacher wants to find out how much she will have to pay for 20 chocolate bar, she has to substitute 20 into the equation to replace b, which means bar. So the equation would be: total cost (c) = $0.98 × chocolate bars (b). Once substituted, the equation will be c = $0.98(20).

3. The problem said "mows 18 lawns per day" and "mow in 5 days", that means that you substitute 5 into the equation to replace the d in days, since you are multiplying 5 × 18.. Your new equation will be: L = 18(5), Total Lawns = 18 (lawns) per 5 (days).

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3 years ago

1 + tanx / 1 + cotx =2

Lera25 [3.4K]

Answer:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 + cot(x) + tan(x) = 2

Multiply both sides of 1 + cot(x) + tan(x) = 2 by tan(x):

1 + tan(x) + tan^2(x) = 2 tan(x)

Subtract 2 tan(x) from both sides:

1 - tan(x) + tan^2(x) = 0

Subtract 1 from both sides:

tan^2(x) - tan(x) = -1

Add 1/4 to both sides:

1/4 - tan(x) + tan^2(x) = -3/4

Write the left hand side as a square:

(tan(x) - 1/2)^2 = -3/4

Take the square root of both sides:

tan(x) - 1/2 = (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

tan(x) = 1/2 + (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Take the inverse tangent of both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) = 1/2 - (i sqrt(3))/2

Take the inverse tangent of both sides:

Answer: x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

4 0

3 years ago

Evaluate 0.1m+8-12n0.1m+8−12n0, point, 1, m, plus, 8, minus, 12, n when m=30m=30m, equals, 30 and n=\dfrac14n= 4 1 n, equals,

Rom4ik [11]

Answer:

Step-by-step explanation:

We are required to evaluate:

0.1m+8-12n

When $m=30, n=\frac{1}{4}$

Substituting these values into the expression, we have:

$0.1m+8-12n=0.1(30)+8-12(\frac{1}{4})\\=3+8-\frac{12}{4}\\=3+8-3\\=8$

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3 years ago

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