Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
<u>- 5n -5n</u>
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
<u>+8 +8</u> <u> -3 -3</u>
n = 8 or n = -3 n = -3 is the negative solution
<span>equivalent to 2(2x+1)
</span><span>
=4x + 2
hope that helps</span>
Answer: (a+b)n= N k=0 nCK*a n-k. *bk
Step-by-step explanation:
Answer:
1. The solutions marked on the attached graph
2.The solutions are (-2, 0) and (6, 0)
3. The discriminant would be positive
Step-by-step explanation:
- The solution of the quadratic equation is the values of x at y = 0, which means the points of intersection of the graph and the x-axis
- The discriminant is positive if the graph intersects the x-axis at two different points
- The discriminant is zero if the graph intersects the x-axis at only one point
- The discriminant is negative if the graph does not intersect the x-axis
<em>Based on the given graph</em>
1.
Look at the attached figure to see the solutions
2.
∵ The graph intersects the x-axis at points (-2, 0), (6, 0)
∴ The solutions are (-2, 0) and (6, 0)
3.
∵ The discriminant is positive if the graph intersects the x-axis
at 2 different points
∵ The given graph intersects the x-axis at points (-2, 0) and (6, 0)
→ They are different points
∴ The discriminant would be positive