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Assoli18 [71]
2 years ago
15

For what value of x is the rational expression below undefined x-4/3x2-75

Mathematics
1 answer:
abruzzese [7]2 years ago
7 0

The given expression is undefined when x = 5 OR x = -5

<h3>Undefined expression </h3>

From the question, we are to determine the value of x for which the given expression is undefined

The given expression is

x-4/3x²-75

An expression is undefined when the denominator equals zero

Thus, the expression is undefined when

3x² - 75 = 0

Now, we will determine the values of x in the equation above

3x² - 75 = 0

3x²  = 75

x² = 75/3

x² = 25

x = ±√25

x = ±5

Hence, the given expression is undefined when x = 5 OR x = -5

Learn more on Undefined expression here: brainly.com/question/19815575

#SPJ1

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If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
The diagram shows a regular polygon<br> What is the value of x?<br> How do I solve this
I am Lyosha [343]

Answer: x=120°

Step-by-step explanation:

What you are looking for is the value of the exterior angle of the regular polygon.

For a n-sided regular polygon, the external angle is given by the formula 360°/n.

Because the shape in this example is a regular triangle, the value of n is 3.

360°/n

=360°/3

=120°

Therefore, x=120°

3 0
3 years ago
F(x)=-12x - 2x + 60x² +14x-60
Leona [35]

Answer:

x=±1. are the factors of the quadratic equation.

Step-by-step explanation:

Given quadratic expression, f(x)=-12x - 2x + 60x² +14x-60

Rearranging and adding the terms in the expression and equating to zero.

f(x)= 60x² -60=0

60(x² - 1) =0

The zero product property states that if the product of a⋅b=0 then either a or b equal zero or both of them must be equal to zero. This basic property helps us solve the quadratic equations like (x+2)(x-5)=0 where x =-2,5.

from the zero product property we can infer that 60≠0⇒x² - 1=0

⇒(x+1)×(x-1) = 0

⇒x=±1.

Therefore, x=±1. are the factors of the quadratic equation.

3 0
3 years ago
Do u agree?I m not pretty sure
nika2105 [10]
It looks correct to me :)
6 0
3 years ago
Read 2 more answers
#38 . Please need help !!
Alexxandr [17]
Draw a number line with A through Z then find the missing values. Graph them and see what they spell is it a palindrome???
7 0
3 years ago
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