Find the number of solutions of the equation 9h^2 - 12h + 4 = 0 by using the discriminant.
1 answer:
You might be interested in
The sum of the lengths of three sides of the rectangle, gives the length
of the fencing, while one third of the rectangle area is for the pavement.
Responses:
Project A: The formula for the length of the fencing is, L = 4·x - 1
Project B: Length of the fancy wall = 2·x + 1
<h3>Which method can be used to find the length and area of paving from the given equations?</h3>
Project A: Let QP and SR represent the longest sides of the rectangle, we have;
PQ = SR = 2·x + 1
Given parameters are;
Length of the rectangular plot = 2·x + 1
Width of the rectangular plot = x - 1
Vertices of the rectangular plot are; QPSR
Project A: Let QP and SR represent the longest sides of the rectangle, we have;
PQ = SR = 2·x + 1
Which gives;
SP = QR = x - 1
The length of the fencing, L = SP + PQ + QR = x - 1 + 2·x + 1 + x - 1 = 4·x - 1
- The formula for the length of the fencing is, L =<u> 4·x - 1</u>
Project B: The front side is SR
Therefore;
- Length of the fancy wall = <u>2·x + 1</u>
Project C:
Area, A = Length × Width
Area of the plot, A = (2·x + 1) × (x - 1) = 2·x² - x - 1
Learn more about writing equations here:
Our discriminant is 0 so, has one real root.
Option C is correct.
Step-by-step explanation:
we need to find the discriminant and the number of real roots for the following equation:
The discriminant is found by using square root part of quadratic formula:
where b =12, a=4 and c=9
Putting values:
To find out the number of real roots using discriminant we have following rules:
- if discriminant b^2-4ac >0 then 2 real roots
- if discriminant b^2-4ac =0 then 1 real root
- if discriminant b^2-4ac <0 then no real roots
Since our discriminant b^2-4ac is 0 so, has one real root.
Option C is correct.
Keywords: discriminant
Learn more about discriminant at:
#learnwithBrainly