Answer:
Step-by-step explanation:
Answer:
x = -3 + 2 i or x = -3 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 6 x + 13 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 13 from both sides:
x^2 + 6 x = -13
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9 to both sides:
x^2 + 6 x + 9 = -4
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 3)^2 = -4
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 3 = 2 i or x + 3 = -2 i
Hint: | Look at the first equation: Solve for x.
Subtract 3 from both sides:
x = -3 + 2 i or x + 3 = -2 i
Hint: | Look at the second equation: Solve for x.
Subtract 3 from both sides:
Answer: x = -3 + 2 i or x = -3 - 2 i
Hey there! :)
Equation 1) -2x + y = 14
Equation 2) 4x - 6y = 4
Add 2x to both sides of equation 1 so that we can get the value of y.
y = 2x + 14
Now, plug the value of y into our second equation.
4x - 6(2x + 14) = 4
Simplify.
4x - 12x - 84 = 4
Add 84 to both sides.
4x - 12x = 4 + 84
Simplify.
-8x = 88
Divide both sides by -8.
x = -11
Now, plug our value of x into our first equation in order to find y.
-2x + y = 14
-2(-11) + y = 14
22 + y = 14
y = -8
Therefore, the systems of equation variables are : (-11, -8)
~Hope this helped! :)
Answer:
The answer is
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Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,7) and (9,9)
The distance between them is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you