SOLUTION: The sum of a number and 8, mulitipled by the sum of the number and 5 is equivalent to 19.

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Question 1016156: The sum of a number and 8, mulitipled by the sum of the number and 5 is equivalent to 19.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
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You did not ask a question.
Assuming you want to find the number.
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x=the number
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(x+8)(x+5)=19
x^2+13x+40=19
x^2+13x+21=0
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=85 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -1.89022777135356, -11.1097722286464. Here's your graph:

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ANSWER: The number is -1.89 or -11.11.
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CHECK:
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For x=-1.89
(x+8)(x+5)=19
(-1.89+8)(-1.89+5)=19
(6.11)(3.11)=19
19=19
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For -11.11
(-11.11+8)(-11.11+5)=19
(-3.11)(-6.11)=19
19=19
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