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Masja [62]
3 years ago
8

If ln(x^2-x-1)=0 , then x= ?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

  x = -1 or 2

Step-by-step explanation:

Taking the antilog, you have the quadratic ...

  x^2 -x -1 = 1

  x^2 -x -2 = 0 . . . . subtract 1

  (x -2)(x +1) = 0 . . . factor

The values of x that make these factors zero are the solutions to the equation.

  x = 2  or  x = -1

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Four times a number decreased by seven
Elden [556K]
In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):

"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3

With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
7 0
3 years ago
A school paid $31.25 for each calculator.
Sonja [21]

Answer:

500/31.25=16

Step-by-step explanation:

The school bought 16 calculators

4 0
2 years ago
The number of seats in a row has been increased at a rectangular-shape movie theater after renovation so that it is now five mor
Damm [24]

Let the number of rows be = r

Let the number of seats per row be = s

we know that the number of seats is 126.

So, s\times r=126    ..... (1)

As given, there are five more seats per row than the number of rows, so we can say that:

s=r+5

Putting this in equation (1)

(r+5)*r=126

r^{2}+5r=126

r^{2}+5r-126=0

r^{2}+14r-9r-126=0

(r+14)(r-9)=0

r=-14 and r=9 (neglecting the negative value) we get r=9

And s=r+5

so, s =9+5=14

Hence, there are 5 rows and 14 seats per row.

4 0
3 years ago
Examine each number. What number can you add to this number to make a number that has a whole-number square root?
Fantom [35]

the answer is 470

Step-by-step explanation:Because 470+470 which equals 940 and the  square root is 30

3 0
3 years ago
When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, should the signs in the binom
gtnhenbr [62]

When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the true statement?</h3>

The form of the polynomial is given as:

ax2 + bx + c

Where a, b, and c are positive real numbers.

Since a, b, and c are positive real numbers. then the form of the expansion would be:

ax2 + bx + c = (dx + e)(fx + g)

<h3>Example to verify the claim</h3>

Take for instance, we have the following quadratic equation

x^2 + 6x +  8

Expand the equation

x^2 + 6x +  8 = x^2 + 4x + 2x +  8

Factorize the equation

x^2 + 6x +  8 = (x + 2)(x + 4)


Hence, the signs in the binomials should be both positive

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

5 0
1 year ago
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