SOLUTION: How do I solve the equation x plus 4.2 times x equals 26?

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Question 972943: How do I solve the equation x plus 4.2 times x equals 26?
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
The question is ambiguous:
Possibility 1:


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=121.64 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 3.41452627158489, -7.61452627158489. Here's your graph:

In this case, x=3.41 or x=-7.61
.
Possibility 2:



In this case, x=5

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