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
- 5n -5n
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
+8 +8 -3 -3
n = 8 or n = -3 n = -3 is the negative solution
I hope this helps you
x.3x+x.(-1)+5.3x+5.(-1)-(x^2-2.4.x+16)
3x^2-x+15x-5-x^2+8x-16
2x^2+22x-21
Simplifying
9 + 7x = 7x2
Solving
9 + 7x = 7x2
Solving for variable 'x'.
Combine like terms: 7x2 + -7x2 = 0
9 + 7x + -7x2 = 0
Begin completing the square. Divide all terms by
-7 the coefficient of the squared term:
Divide each side by '-7'.
-1.285714286 + -1x + x2 = 0
Move the constant term to the right:
Add '1.285714286' to each side of the equation.
-1.285714286 + -1x + 1.285714286 + x2 = 0 + 1.285714286
Reorder the terms:
-1.285714286 + 1.285714286 + -1x + x2 = 0 + 1.285714286
Combine like terms: -1.285714286 + 1.285714286 = 0.000000000
0.000000000 + -1x + x2 = 0 + 1.285714286
-1x + x2 = 0 + 1.285714286
Combine like terms: 0 + 1.285714286 = 1.285714286
-1x + x2 = 1.285714286
The x term is -1x. Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.
Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 1.
