7 times a number is 8 less than the square of that number. Find the negative solution.

The negative value of 'a' is -1 and this can be determined by forming the quadratic equation using the given data.

Given :

7 times a number is 8 less than the square of that number.

The following steps can be used in order to determine the negative solution:

Step 1 - Let the unknown number be 'a'.

Step 2 - So, the quadratic equation that represents the given situation is given below:

Step 3 - Now, determine the value of 'a' using the below calculations.

Step 4 - So, the negative value of 'a' is given by:

a = -1

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Step-by-step explanation:

x^2-8x+x-8

x(x-8)+1(x-8)

(x+1)(x-8)

The negative number is x=-1

simplifying

7ln(x + 2.8) = 11.2

reorder the terms:

7ln(2.8 + x) = 11.2

(2.8 * 7ln + x * 7ln) = 11.2

(19.6ln + 7lnx) = 11.2

solving

19.6ln + 7lnx = 11.2

solving for variable 'l'.

move all terms containing l to the left, all other terms to the right.

reorder the terms:

-11.2 + 19.6ln + 7lnx = 11.2 + -11.2

combine like terms: 11.2 + -11.2 = 0.0

-11.2 + 19.6ln + 7lnx = 0.0

the solution to this equation could not be determined.

step-by-step explanation:

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