Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
Answer:
Step-by-step explanation:
The cylinder that is sliced by the plane which is not parallel to the base of the cylinder and intersects only at the lateral surface is called an ellipse.
<h3>What is the formation of an Ellipse in a Cylinder?</h3>
When a cylinder with a longitudinal axis (z) is sliced at an angle to the xy plane, an elliptical shape is created.
In a circle, every plane crosses a circular cylinder perpendicularly to its axis. A plane that is neither at right angles to the axis nor parallel to it, crosses the cylinder in an elliptical shape.
Learn more about an ellipse here:
brainly.com/question/26679189
