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How to fill out solve 3x2 7x 13

Illustration
01
Start by understanding the problem you need to solve. In this case, you have a quadratic equation of the form 3x^2 + 7x + 13, and you want to find the values of x that will make the equation true.
02
To solve the quadratic equation, you can use various methods such as factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula.
03
The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by the formula x = (-b ± √(b^2 - 4ac)) / (2a).
04
Now, let's apply the quadratic formula to our equation 3x^2 + 7x + 13 = 0.
a = 3, b = 7, and c = 13.

Plug these values into the quadratic formula:

x = (-7 ± √(7^2 - 4*3*13)) / (2*3)

Simplify the quadratic formula:

x = (-7 ± √(49 - 156)) / 6
x = (-7 ± √(-107)) / 6
01
Since we have a negative number under the square root, it means that the equation has no real solutions. The values of x that satisfy 3x^2 + 7x + 13 = 0 are complex numbers.
02
Who needs to solve 3x^2 + 7x + 13? Anyone studying quadratic equations in mathematics or anyone encountering an equation of this form in their field of work or study may need to solve it.
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The solution to the equation 3x^2 + 7x + 13 is a mathematical expression.
Individuals or entities working with mathematical equations may need to solve 3x^2 + 7x + 13.
To fill out the solution to 3x^2 + 7x + 13, one must plug in values for x and simplify the equation.
The purpose of solving 3x^2 + 7x + 13 is to find the value(s) of x that satisfy the equation.
The information reported for 3x^2 + 7x + 13 will include the values of x that make the equation true.
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