What is the solution to the following equation x²+3x+7=0
2 answers:
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation x² + 3x + 7 = 0
Let's solve this equation by two methods.
1) Completing the perfect square trinomial
x² + 3x = -7
x² + 3x + (3/2)² = -7 + (3/2)²
(x + 3/2)² = -7 + 9/4
(x + 3/2)² = -19/4
x + 3/2 = √-19/√4
x = -3/2 + √-19/2 It has imaginary solutions.
2.- Graph the equation
See the graph below.
In the graph we notice that the equation does not cross the x-axis so it does not have real solution.
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Answer:
Step-by-step explanation:
<u>Given information</u>
Point B = (-2, -4)
Reflection line: y = x
<u>Concept:</u>
When reflecting over the line y = x, the position of y and x in the original coordinate switches places.
This is because it is " y = x ", assuming that they could interchange
<u>Find the coordinate of Point B'</u>
Original (x, y) = (-2, -4)
Point B' = (x', y') = (y, x) =
<em>Please refer to the attachment below for a graphical understanding</em>
Hope this helps!! :)
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