<span>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.
</span><span>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 </span><span>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 </span><span>x = {3.123105626, -5.123105626}</span>
If you meant 2x + 2x + 1 = 17: x = 4 Solve for x by simplifying both sides of the equation, then isolating the variable.<span> </span> If you meant <span>x2 + 2x + 1 = 17:</span> <span>x ≈ 3.1231056,−5.1231056x</span> Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula. <span><span>x = −1 ± <span>√17</span></span>x</span>
The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.
To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.