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3 years ago

Find the value of n such that x2-10x+n is a perfect square trinomial.

2 answers:

mihalych1998 [28]3 years ago

7 0

The answer is the last option (Option D), which is:

D. 25

The explanation is shown below:

1. You have that:

(a ± b)^2=a^2 ± 2ab + b^2

2. The expression given in the problem is:

x^2-10x+n

Where x^2=a and 2ab=10x

2b=10
b=10/2
b=5

3. Therefore, you have:

b^2=5
b^2=25

b^2=n
n=25

sleet_krkn [62]3 years ago

3 0

Answer:

the answer is 25!!

Step-by-step explanation:

I hope this is helpful to sum of y'all!!

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Simplify the following equation

morpeh [17]

Answer:

3x - 2

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

1) x-1+5<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx-1%5C%5C%7D" id="TexFormula1" title="\sqrt{x-1\\}" alt="\sqrt{x-1\\}" align

TEA [102]

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

5√x-1 = -x -2

Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4) x^4-64=0

x^4 = 64

$x = \sqrt[4]{64}$

x = 2.83

6 0

2 years ago

If x2 = 30, what is the value of x? A. ±60 B. ±15 C. ±square root of 30 D.±square root of 15

anygoal [31]

Answer:

C. ±square root of 30

Step-by-step explanation:

Apply the square root function to both sides of the equation:

$\sqrt{x^2}=\sqrt{30}\\\\|x|=\sqrt{30}\\\\x=\pm\sqrt{30}$

_____

The absolute value equation has two solutions. They match choice C.

6 0

3 years ago

Solvex2 - 4x=21 using the zero product property.

Ierofanga [76]

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

5 0

3 years ago

If B is the midpoint of AC, and AC=8x-20. Find BC AB=3x-1 Show all work

exis [7]

First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9

therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26

6 0

3 years ago

Read 2 more answers