The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2. Find:
1 answer:
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Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
The value of 'k' in the quadratic Equation having one rational solution is k is 8.
- Quadratic equations are the polynomial equations of degree 2 in one variable of the type
where a, b, c, ∈ R and a ≠ 0.
- The standard form of a quadratic equation is
.
Here, the given equation is
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means
Therefore,
Therefore, the value of k is 8.
Learn more about the quadratic equation is brainly.com/question/8649555
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